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Finding the Fourth Proportional to 180,079.96, 269,904.20 and 83,887.52

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Solution

The fourth proportional to 180,079.96, 269,904.20 and 83,887.52 is: 125,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,079.96 : 269,904.20 = 83,887.52 : x
  2. Step 2: Convert to fraction form
    180,079.96/269,904.20 = 83,887.52/x
  3. Step 3: Cross multiply
    180,079.96x = 269,904.20 × 83,887.52
  4. Step 4: Simplify right side
    180,079.96x = 22,641,593,975.58
  5. Step 5: Solve for x
    x = 22,641,593,975.58/180,079.96
  6. Step 6: Final answer
    x = 125,730.78

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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.