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Finding the Fourth Proportional to 154,951.40, 231,843.90 and 102,463.40

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Solution

The fourth proportional to 154,951.40, 231,843.90 and 102,463.40 is: 153,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,951.40 : 231,843.90 = 102,463.40 : x
  2. Step 2: Convert to fraction form
    154,951.40/231,843.90 = 102,463.40/x
  3. Step 3: Cross multiply
    154,951.40x = 231,843.90 × 102,463.40
  4. Step 4: Simplify right side
    154,951.40x = 23,755,514,263.26
  5. Step 5: Solve for x
    x = 23,755,514,263.26/154,951.40
  6. Step 6: Final answer
    x = 153,309.45

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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.