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Finding the Fourth Proportional to 109,580.32, 151,222.12 and 61,834.24

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Solution

The fourth proportional to 109,580.32, 151,222.12 and 61,834.24 is: 85,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,580.32 : 151,222.12 = 61,834.24 : x
  2. Step 2: Convert to fraction form
    109,580.32/151,222.12 = 61,834.24/x
  3. Step 3: Cross multiply
    109,580.32x = 151,222.12 × 61,834.24
  4. Step 4: Simplify right side
    109,580.32x = 9,350,704,861.39
  5. Step 5: Solve for x
    x = 9,350,704,861.39/109,580.32
  6. Step 6: Final answer
    x = 85,331.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.