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Finding the Fourth Proportional to 90,518, 135,777.24 and 28,188.56

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Solution

The fourth proportional to 90,518, 135,777.24 and 28,188.56 is: 42,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,518 : 135,777.24 = 28,188.56 : x
  2. Step 2: Convert to fraction form
    90,518/135,777.24 = 28,188.56/x
  3. Step 3: Cross multiply
    90,518x = 135,777.24 × 28,188.56
  4. Step 4: Simplify right side
    90,518x = 3,827,364,876.37
  5. Step 5: Solve for x
    x = 3,827,364,876.37/90,518
  6. Step 6: Final answer
    x = 42,282.91

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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.