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Finding the Fourth Proportional to 132,148.17, 198,220.48 and 32,309.22

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Solution

The fourth proportional to 132,148.17, 198,220.48 and 32,309.22 is: 48,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,148.17 : 198,220.48 = 32,309.22 : x
  2. Step 2: Convert to fraction form
    132,148.17/198,220.48 = 32,309.22/x
  3. Step 3: Cross multiply
    132,148.17x = 198,220.48 × 32,309.22
  4. Step 4: Simplify right side
    132,148.17x = 6,404,349,016.05
  5. Step 5: Solve for x
    x = 6,404,349,016.05/132,148.17
  6. Step 6: Final answer
    x = 48,463.40

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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.