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Finding the Fourth Proportional to 142,772.10, 214,158.63 and 36,156

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Solution

The fourth proportional to 142,772.10, 214,158.63 and 36,156 is: 54,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,772.10 : 214,158.63 = 36,156 : x
  2. Step 2: Convert to fraction form
    142,772.10/214,158.63 = 36,156/x
  3. Step 3: Cross multiply
    142,772.10x = 214,158.63 × 36,156
  4. Step 4: Simplify right side
    142,772.10x = 7,743,119,426.28
  5. Step 5: Solve for x
    x = 7,743,119,426.28/142,772.10
  6. Step 6: Final answer
    x = 54,234.12

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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.