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Finding the Fourth Proportional to 132,403.60, 198,475.80 and 53,412.40

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Solution

The fourth proportional to 132,403.60, 198,475.80 and 53,412.40 is: 80,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,403.60 : 198,475.80 = 53,412.40 : x
  2. Step 2: Convert to fraction form
    132,403.60/198,475.80 = 53,412.40/x
  3. Step 3: Cross multiply
    132,403.60x = 198,475.80 × 53,412.40
  4. Step 4: Simplify right side
    132,403.60x = 10,601,068,819.92
  5. Step 5: Solve for x
    x = 10,601,068,819.92/132,403.60
  6. Step 6: Final answer
    x = 80,066.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.