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Finding the Fourth Proportional to 163,831.50, 225,971.01 and 109,356.20

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Solution

The fourth proportional to 163,831.50, 225,971.01 and 109,356.20 is: 150,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,831.50 : 225,971.01 = 109,356.20 : x
  2. Step 2: Convert to fraction form
    163,831.50/225,971.01 = 109,356.20/x
  3. Step 3: Cross multiply
    163,831.50x = 225,971.01 × 109,356.20
  4. Step 4: Simplify right side
    163,831.50x = 24,711,331,542.30
  5. Step 5: Solve for x
    x = 24,711,331,542.30/163,831.50
  6. Step 6: Final answer
    x = 150,833.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.