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Finding the Fourth Proportional to 231,831.80, 347,798.10 and 132,039.80

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Solution

The fourth proportional to 231,831.80, 347,798.10 and 132,039.80 is: 198,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,831.80 : 347,798.10 = 132,039.80 : x
  2. Step 2: Convert to fraction form
    231,831.80/347,798.10 = 132,039.80/x
  3. Step 3: Cross multiply
    231,831.80x = 347,798.10 × 132,039.80
  4. Step 4: Simplify right side
    231,831.80x = 45,923,191,564.38
  5. Step 5: Solve for x
    x = 45,923,191,564.38/231,831.80
  6. Step 6: Final answer
    x = 198,088.41

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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.