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Finding the Fourth Proportional to 132,806.65, 198,881.92 and 98,991.58

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Solution

The fourth proportional to 132,806.65, 198,881.92 and 98,991.58 is: 148,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,806.65 : 198,881.92 = 98,991.58 : x
  2. Step 2: Convert to fraction form
    132,806.65/198,881.92 = 98,991.58/x
  3. Step 3: Cross multiply
    132,806.65x = 198,881.92 × 98,991.58
  4. Step 4: Simplify right side
    132,806.65x = 19,687,635,494.23
  5. Step 5: Solve for x
    x = 19,687,635,494.23/132,806.65
  6. Step 6: Final answer
    x = 148,242.84

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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.