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Finding the Fourth Proportional to 157,355.12, 217,147.32 and 85,735.68

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Solution

The fourth proportional to 157,355.12, 217,147.32 and 85,735.68 is: 118,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,355.12 : 217,147.32 = 85,735.68 : x
  2. Step 2: Convert to fraction form
    157,355.12/217,147.32 = 85,735.68/x
  3. Step 3: Cross multiply
    157,355.12x = 217,147.32 × 85,735.68
  4. Step 4: Simplify right side
    157,355.12x = 18,617,273,140.38
  5. Step 5: Solve for x
    x = 18,617,273,140.38/157,355.12
  6. Step 6: Final answer
    x = 118,313.74

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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.