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Finding the Fourth Proportional to 242,302.82, 363,454.13 and 64,805.24

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Solution

The fourth proportional to 242,302.82, 363,454.13 and 64,805.24 is: 97,207.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,302.82 : 363,454.13 = 64,805.24 : x
  2. Step 2: Convert to fraction form
    242,302.82/363,454.13 = 64,805.24/x
  3. Step 3: Cross multiply
    242,302.82x = 363,454.13 × 64,805.24
  4. Step 4: Simplify right side
    242,302.82x = 23,553,732,123.64
  5. Step 5: Solve for x
    x = 23,553,732,123.64/242,302.82
  6. Step 6: Final answer
    x = 97,207.83

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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.