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Finding the Fourth Proportional to 132,254.98, 198,391.98 and 65,628.02

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Solution

The fourth proportional to 132,254.98, 198,391.98 and 65,628.02 is: 98,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,254.98 : 198,391.98 = 65,628.02 : x
  2. Step 2: Convert to fraction form
    132,254.98/198,391.98 = 65,628.02/x
  3. Step 3: Cross multiply
    132,254.98x = 198,391.98 × 65,628.02
  4. Step 4: Simplify right side
    132,254.98x = 13,020,073,573.36
  5. Step 5: Solve for x
    x = 13,020,073,573.36/132,254.98
  6. Step 6: Final answer
    x = 98,446.76

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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.