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Finding the Fourth Proportional to 132,543.80, 198,524.10 and 117,769.40

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Solution

The fourth proportional to 132,543.80, 198,524.10 and 117,769.40 is: 176,395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,543.80 : 198,524.10 = 117,769.40 : x
  2. Step 2: Convert to fraction form
    132,543.80/198,524.10 = 117,769.40/x
  3. Step 3: Cross multiply
    132,543.80x = 198,524.10 × 117,769.40
  4. Step 4: Simplify right side
    132,543.80x = 23,380,064,142.54
  5. Step 5: Solve for x
    x = 23,380,064,142.54/132,543.80
  6. Step 6: Final answer
    x = 176,395.00

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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.