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Finding the Fourth Proportional to 215,625.60, 323,323.20 and 90,825.60

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Solution

The fourth proportional to 215,625.60, 323,323.20 and 90,825.60 is: 136,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,625.60 : 323,323.20 = 90,825.60 : x
  2. Step 2: Convert to fraction form
    215,625.60/323,323.20 = 90,825.60/x
  3. Step 3: Cross multiply
    215,625.60x = 323,323.20 × 90,825.60
  4. Step 4: Simplify right side
    215,625.60x = 29,366,023,633.92
  5. Step 5: Solve for x
    x = 29,366,023,633.92/215,625.60
  6. Step 6: Final answer
    x = 136,189.88

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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.