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Finding the Fourth Proportional to 160,103,431.90, 220,942,924.97 and 86,764,573.90

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Solution

The fourth proportional to 160,103,431.90, 220,942,924.97 and 86,764,573.90 is: 119,735,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,103,431.90 : 220,942,924.97 = 86,764,573.90 : x
  2. Step 2: Convert to fraction form
    160,103,431.90/220,942,924.97 = 86,764,573.90/x
  3. Step 3: Cross multiply
    160,103,431.90x = 220,942,924.97 × 86,764,573.90
  4. Step 4: Simplify right side
    160,103,431.90x = 19,170,018,741,241,720
  5. Step 5: Solve for x
    x = 19,170,018,741,241,720/160,103,431.90
  6. Step 6: Final answer
    x = 119,735,214.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.