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Finding the Fourth Proportional to 157,585.67, 217,468.86 and 85,967.19

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Solution

The fourth proportional to 157,585.67, 217,468.86 and 85,967.19 is: 118,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,585.67 : 217,468.86 = 85,967.19 : x
  2. Step 2: Convert to fraction form
    157,585.67/217,468.86 = 85,967.19/x
  3. Step 3: Cross multiply
    157,585.67x = 217,468.86 × 85,967.19
  4. Step 4: Simplify right side
    157,585.67x = 18,695,186,806.70
  5. Step 5: Solve for x
    x = 18,695,186,806.70/157,585.67
  6. Step 6: Final answer
    x = 118,635.07

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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.