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Finding the Fourth Proportional to 98,327.40, 147,272.40 and 80,831.40

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Solution

The fourth proportional to 98,327.40, 147,272.40 and 80,831.40 is: 121,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,327.40 : 147,272.40 = 80,831.40 : x
  2. Step 2: Convert to fraction form
    98,327.40/147,272.40 = 80,831.40/x
  3. Step 3: Cross multiply
    98,327.40x = 147,272.40 × 80,831.40
  4. Step 4: Simplify right side
    98,327.40x = 11,904,234,273.36
  5. Step 5: Solve for x
    x = 11,904,234,273.36/98,327.40
  6. Step 6: Final answer
    x = 121,067.31

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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.