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Finding the Fourth Proportional to 157,509.83, 217,355.68 and 89,517.83

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Solution

The fourth proportional to 157,509.83, 217,355.68 and 89,517.83 is: 123,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,509.83 : 217,355.68 = 89,517.83 : x
  2. Step 2: Convert to fraction form
    157,509.83/217,355.68 = 89,517.83/x
  3. Step 3: Cross multiply
    157,509.83x = 217,355.68 × 89,517.83
  4. Step 4: Simplify right side
    157,509.83x = 19,457,207,836.89
  5. Step 5: Solve for x
    x = 19,457,207,836.89/157,509.83
  6. Step 6: Final answer
    x = 123,530.12

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1.5x scale

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.