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Finding the Fourth Proportional to 132,464.16, 198,694.56 and 53,577.60

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Solution

The fourth proportional to 132,464.16, 198,694.56 and 53,577.60 is: 80,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,464.16 : 198,694.56 = 53,577.60 : x
  2. Step 2: Convert to fraction form
    132,464.16/198,694.56 = 53,577.60/x
  3. Step 3: Cross multiply
    132,464.16x = 198,694.56 × 53,577.60
  4. Step 4: Simplify right side
    132,464.16x = 10,645,577,657.86
  5. Step 5: Solve for x
    x = 10,645,577,657.86/132,464.16
  6. Step 6: Final answer
    x = 80,365.72

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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.