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Finding the Fourth Proportional to 132,363.40, 198,580.30 and 57,451.40

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Solution

The fourth proportional to 132,363.40, 198,580.30 and 57,451.40 is: 86,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,363.40 : 198,580.30 = 57,451.40 : x
  2. Step 2: Convert to fraction form
    132,363.40/198,580.30 = 57,451.40/x
  3. Step 3: Cross multiply
    132,363.40x = 198,580.30 × 57,451.40
  4. Step 4: Simplify right side
    132,363.40x = 11,408,716,247.42
  5. Step 5: Solve for x
    x = 11,408,716,247.42/132,363.40
  6. Step 6: Final answer
    x = 86,192.38

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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.