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Finding the Fourth Proportional to 242,305.66, 363,614.01 and 117,578.62

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Solution

The fourth proportional to 242,305.66, 363,614.01 and 117,578.62 is: 176,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,305.66 : 363,614.01 = 117,578.62 : x
  2. Step 2: Convert to fraction form
    242,305.66/363,614.01 = 117,578.62/x
  3. Step 3: Cross multiply
    242,305.66x = 363,614.01 × 117,578.62
  4. Step 4: Simplify right side
    242,305.66x = 42,753,233,508.47
  5. Step 5: Solve for x
    x = 42,753,233,508.47/242,305.66
  6. Step 6: Final answer
    x = 176,443.40

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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.