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Finding the Fourth Proportional to 242,614.36, 363,976.92 and 74,158.64

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Solution

The fourth proportional to 242,614.36, 363,976.92 and 74,158.64 is: 111,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,614.36 : 363,976.92 = 74,158.64 : x
  2. Step 2: Convert to fraction form
    242,614.36/363,976.92 = 74,158.64/x
  3. Step 3: Cross multiply
    242,614.36x = 363,976.92 × 74,158.64
  4. Step 4: Simplify right side
    242,614.36x = 26,992,033,378.59
  5. Step 5: Solve for x
    x = 26,992,033,378.59/242,614.36
  6. Step 6: Final answer
    x = 111,254.89

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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.