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Finding the Fourth Proportional to 183,471.20, 275,077.20 and 83,679.20

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Solution

The fourth proportional to 183,471.20, 275,077.20 and 83,679.20 is: 125,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,471.20 : 275,077.20 = 83,679.20 : x
  2. Step 2: Convert to fraction form
    183,471.20/275,077.20 = 83,679.20/x
  3. Step 3: Cross multiply
    183,471.20x = 275,077.20 × 83,679.20
  4. Step 4: Simplify right side
    183,471.20x = 23,018,240,034.24
  5. Step 5: Solve for x
    x = 23,018,240,034.24/183,471.20
  6. Step 6: Final answer
    x = 125,459.69

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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.