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Finding the Fourth Proportional to 132,103.69, 198,154.83 and 32,264.40

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Solution

The fourth proportional to 132,103.69, 198,154.83 and 32,264.40 is: 48,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,103.69 : 198,154.83 = 32,264.40 : x
  2. Step 2: Convert to fraction form
    132,103.69/198,154.83 = 32,264.40/x
  3. Step 3: Cross multiply
    132,103.69x = 198,154.83 × 32,264.40
  4. Step 4: Simplify right side
    132,103.69x = 6,393,347,561.12
  5. Step 5: Solve for x
    x = 6,393,347,561.12/132,103.69
  6. Step 6: Final answer
    x = 48,396.44

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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.