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Finding the Fourth Proportional to 132,077.76, 198,114.56 and 53,189.92

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Solution

The fourth proportional to 132,077.76, 198,114.56 and 53,189.92 is: 79,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,077.76 : 198,114.56 = 53,189.92 : x
  2. Step 2: Convert to fraction form
    132,077.76/198,114.56 = 53,189.92/x
  3. Step 3: Cross multiply
    132,077.76x = 198,114.56 × 53,189.92
  4. Step 4: Simplify right side
    132,077.76x = 10,537,697,597.24
  5. Step 5: Solve for x
    x = 10,537,697,597.24/132,077.76
  6. Step 6: Final answer
    x = 79,784.04

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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.