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Finding the Fourth Proportional to 274,605.27, 411,831.77 and 132,543.03

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Solution

The fourth proportional to 274,605.27, 411,831.77 and 132,543.03 is: 198,777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,605.27 : 411,831.77 = 132,543.03 : x
  2. Step 2: Convert to fraction form
    274,605.27/411,831.77 = 132,543.03/x
  3. Step 3: Cross multiply
    274,605.27x = 411,831.77 × 132,543.03
  4. Step 4: Simplify right side
    274,605.27x = 54,585,429,983.35
  5. Step 5: Solve for x
    x = 54,585,429,983.35/274,605.27
  6. Step 6: Final answer
    x = 198,777.79

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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.