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Finding the Fourth Proportional to 157,082.52, 216,767.46 and 85,462.62

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Solution

The fourth proportional to 157,082.52, 216,767.46 and 85,462.62 is: 117,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,082.52 : 216,767.46 = 85,462.62 : x
  2. Step 2: Convert to fraction form
    157,082.52/216,767.46 = 85,462.62/x
  3. Step 3: Cross multiply
    157,082.52x = 216,767.46 × 85,462.62
  4. Step 4: Simplify right side
    157,082.52x = 18,525,515,062.35
  5. Step 5: Solve for x
    x = 18,525,515,062.35/157,082.52
  6. Step 6: Final answer
    x = 117,934.92

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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.