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Finding the Fourth Proportional to 157,646.65, 217,557 and 86,031.30

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Solution

The fourth proportional to 157,646.65, 217,557 and 86,031.30 is: 118,725.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,646.65 : 217,557 = 86,031.30 : x
  2. Step 2: Convert to fraction form
    157,646.65/217,557 = 86,031.30/x
  3. Step 3: Cross multiply
    157,646.65x = 217,557 × 86,031.30
  4. Step 4: Simplify right side
    157,646.65x = 18,716,711,534.10
  5. Step 5: Solve for x
    x = 18,716,711,534.10/157,646.65
  6. Step 6: Final answer
    x = 118,725.72

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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.