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Finding the Fourth Proportional to 206,862.60, 310,073.17 and 117,924.60

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Solution

The fourth proportional to 206,862.60, 310,073.17 and 117,924.60 is: 176,761.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,862.60 : 310,073.17 = 117,924.60 : x
  2. Step 2: Convert to fraction form
    206,862.60/310,073.17 = 117,924.60/x
  3. Step 3: Cross multiply
    206,862.60x = 310,073.17 × 117,924.60
  4. Step 4: Simplify right side
    206,862.60x = 36,565,254,542.98
  5. Step 5: Solve for x
    x = 36,565,254,542.98/206,862.60
  6. Step 6: Final answer
    x = 176,761.07

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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.