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Finding the Fourth Proportional to 242,178.53, 363,345.63 and 73,731.47

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Solution

The fourth proportional to 242,178.53, 363,345.63 and 73,731.47 is: 110,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,178.53 : 363,345.63 = 73,731.47 : x
  2. Step 2: Convert to fraction form
    242,178.53/363,345.63 = 73,731.47/x
  3. Step 3: Cross multiply
    242,178.53x = 363,345.63 × 73,731.47
  4. Step 4: Simplify right side
    242,178.53x = 26,790,007,417.98
  5. Step 5: Solve for x
    x = 26,790,007,417.98/242,178.53
  6. Step 6: Final answer
    x = 110,620.90

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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.