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Finding the Fourth Proportional to 206,691.04, 310,013.52 and 56,942.56

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Solution

The fourth proportional to 206,691.04, 310,013.52 and 56,942.56 is: 85,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,691.04 : 310,013.52 = 56,942.56 : x
  2. Step 2: Convert to fraction form
    206,691.04/310,013.52 = 56,942.56/x
  3. Step 3: Cross multiply
    206,691.04x = 310,013.52 × 56,942.56
  4. Step 4: Simplify right side
    206,691.04x = 17,652,963,463.41
  5. Step 5: Solve for x
    x = 17,652,963,463.41/206,691.04
  6. Step 6: Final answer
    x = 85,407.49

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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.