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Finding the Fourth Proportional to 145,046.20, 217,607.70 and 51,542.20

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Solution

The fourth proportional to 145,046.20, 217,607.70 and 51,542.20 is: 77,326.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,046.20 : 217,607.70 = 51,542.20 : x
  2. Step 2: Convert to fraction form
    145,046.20/217,607.70 = 51,542.20/x
  3. Step 3: Cross multiply
    145,046.20x = 217,607.70 × 51,542.20
  4. Step 4: Simplify right side
    145,046.20x = 11,215,979,594.94
  5. Step 5: Solve for x
    x = 11,215,979,594.94/145,046.20
  6. Step 6: Final answer
    x = 77,326.95

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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.