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Finding the Fourth Proportional to 115,962.87, 160,106.73 and 72,421.75

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Solution

The fourth proportional to 115,962.87, 160,106.73 and 72,421.75 is: 99,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,962.87 : 160,106.73 = 72,421.75 : x
  2. Step 2: Convert to fraction form
    115,962.87/160,106.73 = 72,421.75/x
  3. Step 3: Cross multiply
    115,962.87x = 160,106.73 × 72,421.75
  4. Step 4: Simplify right side
    115,962.87x = 11,595,209,573.38
  5. Step 5: Solve for x
    x = 11,595,209,573.38/115,962.87
  6. Step 6: Final answer
    x = 99,990.71

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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.