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Finding the Fourth Proportional to 132,956.46, 198,966.60 and 83,060.06

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Solution

The fourth proportional to 132,956.46, 198,966.60 and 83,060.06 is: 124,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,956.46 : 198,966.60 = 83,060.06 : x
  2. Step 2: Convert to fraction form
    132,956.46/198,966.60 = 83,060.06/x
  3. Step 3: Cross multiply
    132,956.46x = 198,966.60 × 83,060.06
  4. Step 4: Simplify right side
    132,956.46x = 16,526,176,739.16
  5. Step 5: Solve for x
    x = 16,526,176,739.16/132,956.46
  6. Step 6: Final answer
    x = 124,297.66

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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.