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Finding the Fourth Proportional to 246,202.72, 369,165.56 and 77,691.64

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Solution

The fourth proportional to 246,202.72, 369,165.56 and 77,691.64 is: 116,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,202.72 : 369,165.56 = 77,691.64 : x
  2. Step 2: Convert to fraction form
    246,202.72/369,165.56 = 77,691.64/x
  3. Step 3: Cross multiply
    246,202.72x = 369,165.56 × 77,691.64
  4. Step 4: Simplify right side
    246,202.72x = 28,681,077,787.92
  5. Step 5: Solve for x
    x = 28,681,077,787.92/246,202.72
  6. Step 6: Final answer
    x = 116,493.75

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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.