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Finding the Fourth Proportional to 82,042.60, 123,063.90 and 68,045.80

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Solution

The fourth proportional to 82,042.60, 123,063.90 and 68,045.80 is: 102,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,042.60 : 123,063.90 = 68,045.80 : x
  2. Step 2: Convert to fraction form
    82,042.60/123,063.90 = 68,045.80/x
  3. Step 3: Cross multiply
    82,042.60x = 123,063.90 × 68,045.80
  4. Step 4: Simplify right side
    82,042.60x = 8,373,981,526.62
  5. Step 5: Solve for x
    x = 8,373,981,526.62/82,042.60
  6. Step 6: Final answer
    x = 102,068.70

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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.