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Finding the Fourth Proportional to 174,319.20, 260,822.70 and 115,270.20

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Solution

The fourth proportional to 174,319.20, 260,822.70 and 115,270.20 is: 172,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,319.20 : 260,822.70 = 115,270.20 : x
  2. Step 2: Convert to fraction form
    174,319.20/260,822.70 = 115,270.20/x
  3. Step 3: Cross multiply
    174,319.20x = 260,822.70 × 115,270.20
  4. Step 4: Simplify right side
    174,319.20x = 30,065,084,793.54
  5. Step 5: Solve for x
    x = 30,065,084,793.54/174,319.20
  6. Step 6: Final answer
    x = 172,471.45

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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.