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Finding the Fourth Proportional to 278,706.50, 418,129.19 and 81,714.50

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Solution

The fourth proportional to 278,706.50, 418,129.19 and 81,714.50 is: 122,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,706.50 : 418,129.19 = 81,714.50 : x
  2. Step 2: Convert to fraction form
    278,706.50/418,129.19 = 81,714.50/x
  3. Step 3: Cross multiply
    278,706.50x = 418,129.19 × 81,714.50
  4. Step 4: Simplify right side
    278,706.50x = 34,167,217,696.26
  5. Step 5: Solve for x
    x = 34,167,217,696.26/278,706.50
  6. Step 6: Final answer
    x = 122,592.11

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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.