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Finding the Fourth Proportional to 204,545.98, 306,805.47 and 98,006.14

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Solution

The fourth proportional to 204,545.98, 306,805.47 and 98,006.14 is: 147,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,545.98 : 306,805.47 = 98,006.14 : x
  2. Step 2: Convert to fraction form
    204,545.98/306,805.47 = 98,006.14/x
  3. Step 3: Cross multiply
    204,545.98x = 306,805.47 × 98,006.14
  4. Step 4: Simplify right side
    204,545.98x = 30,068,819,845.59
  5. Step 5: Solve for x
    x = 30,068,819,845.59/204,545.98
  6. Step 6: Final answer
    x = 147,002.74

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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.