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Finding the Fourth Proportional to 274,752.48, 412,187.90 and 85,209.02

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Solution

The fourth proportional to 274,752.48, 412,187.90 and 85,209.02 is: 127,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,752.48 : 412,187.90 = 85,209.02 : x
  2. Step 2: Convert to fraction form
    274,752.48/412,187.90 = 85,209.02/x
  3. Step 3: Cross multiply
    274,752.48x = 412,187.90 × 85,209.02
  4. Step 4: Simplify right side
    274,752.48x = 35,122,124,527.87
  5. Step 5: Solve for x
    x = 35,122,124,527.87/274,752.48
  6. Step 6: Final answer
    x = 127,831.87

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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.