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Finding the Fourth Proportional to 242,572.05, 363,923.69 and 137,464.83

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Solution

The fourth proportional to 242,572.05, 363,923.69 and 137,464.83 is: 206,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,572.05 : 363,923.69 = 137,464.83 : x
  2. Step 2: Convert to fraction form
    242,572.05/363,923.69 = 137,464.83/x
  3. Step 3: Cross multiply
    242,572.05x = 363,923.69 × 137,464.83
  4. Step 4: Simplify right side
    242,572.05x = 50,026,707,491.50
  5. Step 5: Solve for x
    x = 50,026,707,491.50/242,572.05
  6. Step 6: Final answer
    x = 206,234.43

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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.