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Finding the Fourth Proportional to 160,796.85, 221,913.29 and 89,199.94

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Solution

The fourth proportional to 160,796.85, 221,913.29 and 89,199.94 is: 123,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,796.85 : 221,913.29 = 89,199.94 : x
  2. Step 2: Convert to fraction form
    160,796.85/221,913.29 = 89,199.94/x
  3. Step 3: Cross multiply
    160,796.85x = 221,913.29 × 89,199.94
  4. Step 4: Simplify right side
    160,796.85x = 19,794,651,152.42
  5. Step 5: Solve for x
    x = 19,794,651,152.42/160,796.85
  6. Step 6: Final answer
    x = 123,103.48

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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.