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Finding the Fourth Proportional to 206,870.60, 310,085.17 and 117,932.60

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Solution

The fourth proportional to 206,870.60, 310,085.17 and 117,932.60 is: 176,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,870.60 : 310,085.17 = 117,932.60 : x
  2. Step 2: Convert to fraction form
    206,870.60/310,085.17 = 117,932.60/x
  3. Step 3: Cross multiply
    206,870.60x = 310,085.17 × 117,932.60
  4. Step 4: Simplify right side
    206,870.60x = 36,569,150,319.54
  5. Step 5: Solve for x
    x = 36,569,150,319.54/206,870.60
  6. Step 6: Final answer
    x = 176,773.07

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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.