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Finding the Fourth Proportional to 82,117.80, 123,176.70 and 62,434.80

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Solution

The fourth proportional to 82,117.80, 123,176.70 and 62,434.80 is: 93,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,117.80 : 123,176.70 = 62,434.80 : x
  2. Step 2: Convert to fraction form
    82,117.80/123,176.70 = 62,434.80/x
  3. Step 3: Cross multiply
    82,117.80x = 123,176.70 × 62,434.80
  4. Step 4: Simplify right side
    82,117.80x = 7,690,512,629.16
  5. Step 5: Solve for x
    x = 7,690,512,629.16/82,117.80
  6. Step 6: Final answer
    x = 93,652.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.