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Finding the Fourth Proportional to 129,648.40, 194,472.60 and 121,775.20

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Solution

The fourth proportional to 129,648.40, 194,472.60 and 121,775.20 is: 182,662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,648.40 : 194,472.60 = 121,775.20 : x
  2. Step 2: Convert to fraction form
    129,648.40/194,472.60 = 121,775.20/x
  3. Step 3: Cross multiply
    129,648.40x = 194,472.60 × 121,775.20
  4. Step 4: Simplify right side
    129,648.40x = 23,681,939,759.52
  5. Step 5: Solve for x
    x = 23,681,939,759.52/129,648.40
  6. Step 6: Final answer
    x = 182,662.80

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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.