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Finding the Fourth Proportional to 242,279.92, 363,468.54 and 84,466

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Solution

The fourth proportional to 242,279.92, 363,468.54 and 84,466 is: 126,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,279.92 : 363,468.54 = 84,466 : x
  2. Step 2: Convert to fraction form
    242,279.92/363,468.54 = 84,466/x
  3. Step 3: Cross multiply
    242,279.92x = 363,468.54 × 84,466
  4. Step 4: Simplify right side
    242,279.92x = 30,700,733,699.64
  5. Step 5: Solve for x
    x = 30,700,733,699.64/242,279.92
  6. Step 6: Final answer
    x = 126,715.96

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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.