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Finding the Fourth Proportional to 121,414.80, 182,122.20 and 99,253.20

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Solution

The fourth proportional to 121,414.80, 182,122.20 and 99,253.20 is: 148,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,414.80 : 182,122.20 = 99,253.20 : x
  2. Step 2: Convert to fraction form
    121,414.80/182,122.20 = 99,253.20/x
  3. Step 3: Cross multiply
    121,414.80x = 182,122.20 × 99,253.20
  4. Step 4: Simplify right side
    121,414.80x = 18,076,211,141.04
  5. Step 5: Solve for x
    x = 18,076,211,141.04/121,414.80
  6. Step 6: Final answer
    x = 148,879.80

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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.