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Finding the Fourth Proportional to 132,948.40, 199,422.60 and 85,709.20

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Solution

The fourth proportional to 132,948.40, 199,422.60 and 85,709.20 is: 128,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,948.40 : 199,422.60 = 85,709.20 : x
  2. Step 2: Convert to fraction form
    132,948.40/199,422.60 = 85,709.20/x
  3. Step 3: Cross multiply
    132,948.40x = 199,422.60 × 85,709.20
  4. Step 4: Simplify right side
    132,948.40x = 17,092,351,507.92
  5. Step 5: Solve for x
    x = 17,092,351,507.92/132,948.40
  6. Step 6: Final answer
    x = 128,563.80

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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.