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Finding the Fourth Proportional to 121,147.20, 181,720.80 and 83,822.40

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Solution

The fourth proportional to 121,147.20, 181,720.80 and 83,822.40 is: 125,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,147.20 : 181,720.80 = 83,822.40 : x
  2. Step 2: Convert to fraction form
    121,147.20/181,720.80 = 83,822.40/x
  3. Step 3: Cross multiply
    121,147.20x = 181,720.80 × 83,822.40
  4. Step 4: Simplify right side
    121,147.20x = 15,232,273,585.92
  5. Step 5: Solve for x
    x = 15,232,273,585.92/121,147.20
  6. Step 6: Final answer
    x = 125,733.60

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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.