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Finding the Fourth Proportional to 132,406.60, 198,480.30 and 53,415.40

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Solution

The fourth proportional to 132,406.60, 198,480.30 and 53,415.40 is: 80,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,406.60 : 198,480.30 = 53,415.40 : x
  2. Step 2: Convert to fraction form
    132,406.60/198,480.30 = 53,415.40/x
  3. Step 3: Cross multiply
    132,406.60x = 198,480.30 × 53,415.40
  4. Step 4: Simplify right side
    132,406.60x = 10,601,904,616.62
  5. Step 5: Solve for x
    x = 10,601,904,616.62/132,406.60
  6. Step 6: Final answer
    x = 80,070.82

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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.