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Finding the Fourth Proportional to 159,920.60, 239,360.12 and 117,784.10

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Solution

The fourth proportional to 159,920.60, 239,360.12 and 117,784.10 is: 176,292.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,920.60 : 239,360.12 = 117,784.10 : x
  2. Step 2: Convert to fraction form
    159,920.60/239,360.12 = 117,784.10/x
  3. Step 3: Cross multiply
    159,920.60x = 239,360.12 × 117,784.10
  4. Step 4: Simplify right side
    159,920.60x = 28,192,816,310.09
  5. Step 5: Solve for x
    x = 28,192,816,310.09/159,920.60
  6. Step 6: Final answer
    x = 176,292.59

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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.