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Finding the Fourth Proportional to 174,645.20, 261,967.80 and 81,333.20

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Solution

The fourth proportional to 174,645.20, 261,967.80 and 81,333.20 is: 121,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,645.20 : 261,967.80 = 81,333.20 : x
  2. Step 2: Convert to fraction form
    174,645.20/261,967.80 = 81,333.20/x
  3. Step 3: Cross multiply
    174,645.20x = 261,967.80 × 81,333.20
  4. Step 4: Simplify right side
    174,645.20x = 21,306,679,470.96
  5. Step 5: Solve for x
    x = 21,306,679,470.96/174,645.20
  6. Step 6: Final answer
    x = 121,999.80

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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.