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Finding the Fourth Proportional to 242,167.32, 363,264.65 and 73,693.14

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Solution

The fourth proportional to 242,167.32, 363,264.65 and 73,693.14 is: 110,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,167.32 : 363,264.65 = 73,693.14 : x
  2. Step 2: Convert to fraction form
    242,167.32/363,264.65 = 73,693.14/x
  3. Step 3: Cross multiply
    242,167.32x = 363,264.65 × 73,693.14
  4. Step 4: Simplify right side
    242,167.32x = 26,770,112,341.04
  5. Step 5: Solve for x
    x = 26,770,112,341.04/242,167.32
  6. Step 6: Final answer
    x = 110,543.87

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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.