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Finding the Fourth Proportional to 157,810.96, 217,770.64 and 86,177.04

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Solution

The fourth proportional to 157,810.96, 217,770.64 and 86,177.04 is: 118,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,810.96 : 217,770.64 = 86,177.04 : x
  2. Step 2: Convert to fraction form
    157,810.96/217,770.64 = 86,177.04/x
  3. Step 3: Cross multiply
    157,810.96x = 217,770.64 × 86,177.04
  4. Step 4: Simplify right side
    157,810.96x = 18,766,829,154.11
  5. Step 5: Solve for x
    x = 18,766,829,154.11/157,810.96
  6. Step 6: Final answer
    x = 118,919.68

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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.