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Finding the Fourth Proportional to 242,303.13, 363,494.17 and 71,542.10

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Solution

The fourth proportional to 242,303.13, 363,494.17 and 71,542.10 is: 107,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,303.13 : 363,494.17 = 71,542.10 : x
  2. Step 2: Convert to fraction form
    242,303.13/363,494.17 = 71,542.10/x
  3. Step 3: Cross multiply
    242,303.13x = 363,494.17 × 71,542.10
  4. Step 4: Simplify right side
    242,303.13x = 26,005,137,663.76
  5. Step 5: Solve for x
    x = 26,005,137,663.76/242,303.13
  6. Step 6: Final answer
    x = 107,324.81

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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.