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Finding the Fourth Proportional to 132,151.17, 198,224.97 and 32,312.22

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Solution

The fourth proportional to 132,151.17, 198,224.97 and 32,312.22 is: 48,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,151.17 : 198,224.97 = 32,312.22 : x
  2. Step 2: Convert to fraction form
    132,151.17/198,224.97 = 32,312.22/x
  3. Step 3: Cross multiply
    132,151.17x = 198,224.97 × 32,312.22
  4. Step 4: Simplify right side
    132,151.17x = 6,405,088,840.13
  5. Step 5: Solve for x
    x = 6,405,088,840.13/132,151.17
  6. Step 6: Final answer
    x = 48,467.89

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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.