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Finding the Fourth Proportional to 141,240.50, 194,929.17 and 81,624.50

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Solution

The fourth proportional to 141,240.50, 194,929.17 and 81,624.50 is: 112,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,240.50 : 194,929.17 = 81,624.50 : x
  2. Step 2: Convert to fraction form
    141,240.50/194,929.17 = 81,624.50/x
  3. Step 3: Cross multiply
    141,240.50x = 194,929.17 × 81,624.50
  4. Step 4: Simplify right side
    141,240.50x = 15,910,996,036.67
  5. Step 5: Solve for x
    x = 15,910,996,036.67/141,240.50
  6. Step 6: Final answer
    x = 112,651.80

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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.