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Finding the Fourth Proportional to 132,057.80, 198,086.70 and 43,314.20

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Solution

The fourth proportional to 132,057.80, 198,086.70 and 43,314.20 is: 64,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,057.80 : 198,086.70 = 43,314.20 : x
  2. Step 2: Convert to fraction form
    132,057.80/198,086.70 = 43,314.20/x
  3. Step 3: Cross multiply
    132,057.80x = 198,086.70 × 43,314.20
  4. Step 4: Simplify right side
    132,057.80x = 8,579,966,941.14
  5. Step 5: Solve for x
    x = 8,579,966,941.14/132,057.80
  6. Step 6: Final answer
    x = 64,971.30

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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.