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Finding the Fourth Proportional to 132,024.80, 198,037.20 and 65,475.20

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Solution

The fourth proportional to 132,024.80, 198,037.20 and 65,475.20 is: 98,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,024.80 : 198,037.20 = 65,475.20 : x
  2. Step 2: Convert to fraction form
    132,024.80/198,037.20 = 65,475.20/x
  3. Step 3: Cross multiply
    132,024.80x = 198,037.20 × 65,475.20
  4. Step 4: Simplify right side
    132,024.80x = 12,966,525,277.44
  5. Step 5: Solve for x
    x = 12,966,525,277.44/132,024.80
  6. Step 6: Final answer
    x = 98,212.80

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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.