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Finding the Fourth Proportional to 198,536.52, 297,731.28 and 65,377.92

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Solution

The fourth proportional to 198,536.52, 297,731.28 and 65,377.92 is: 98,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,536.52 : 297,731.28 = 65,377.92 : x
  2. Step 2: Convert to fraction form
    198,536.52/297,731.28 = 65,377.92/x
  3. Step 3: Cross multiply
    198,536.52x = 297,731.28 × 65,377.92
  4. Step 4: Simplify right side
    198,536.52x = 19,465,051,805.34
  5. Step 5: Solve for x
    x = 19,465,051,805.34/198,536.52
  6. Step 6: Final answer
    x = 98,042.68

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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.