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Finding the Fourth Proportional to 242,406.75, 363,649.52 and 71,645.79

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Solution

The fourth proportional to 242,406.75, 363,649.52 and 71,645.79 is: 107,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,406.75 : 363,649.52 = 71,645.79 : x
  2. Step 2: Convert to fraction form
    242,406.75/363,649.52 = 71,645.79/x
  3. Step 3: Cross multiply
    242,406.75x = 363,649.52 × 71,645.79
  4. Step 4: Simplify right side
    242,406.75x = 26,053,956,785.29
  5. Step 5: Solve for x
    x = 26,053,956,785.29/242,406.75
  6. Step 6: Final answer
    x = 107,480.33

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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.