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Finding the Fourth Proportional to 132,002, 182,088.24 and 78,234.20

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Solution

The fourth proportional to 132,002, 182,088.24 and 78,234.20 is: 107,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,002 : 182,088.24 = 78,234.20 : x
  2. Step 2: Convert to fraction form
    132,002/182,088.24 = 78,234.20/x
  3. Step 3: Cross multiply
    132,002x = 182,088.24 × 78,234.20
  4. Step 4: Simplify right side
    132,002x = 14,245,527,785.81
  5. Step 5: Solve for x
    x = 14,245,527,785.81/132,002
  6. Step 6: Final answer
    x = 107,919.03

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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.