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Finding the Fourth Proportional to 209,294.60, 313,934.86 and 90,965.92

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Solution

The fourth proportional to 209,294.60, 313,934.86 and 90,965.92 is: 136,445.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,294.60 : 313,934.86 = 90,965.92 : x
  2. Step 2: Convert to fraction form
    209,294.60/313,934.86 = 90,965.92/x
  3. Step 3: Cross multiply
    209,294.60x = 313,934.86 × 90,965.92
  4. Step 4: Simplify right side
    209,294.60x = 28,557,373,359.97
  5. Step 5: Solve for x
    x = 28,557,373,359.97/209,294.60
  6. Step 6: Final answer
    x = 136,445.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.