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Finding the Fourth Proportional to 230,521.80, 345,831.30 and 72,766.20

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Solution

The fourth proportional to 230,521.80, 345,831.30 and 72,766.20 is: 109,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,521.80 : 345,831.30 = 72,766.20 : x
  2. Step 2: Convert to fraction form
    230,521.80/345,831.30 = 72,766.20/x
  3. Step 3: Cross multiply
    230,521.80x = 345,831.30 × 72,766.20
  4. Step 4: Simplify right side
    230,521.80x = 25,164,829,542.06
  5. Step 5: Solve for x
    x = 25,164,829,542.06/230,521.80
  6. Step 6: Final answer
    x = 109,164.64

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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.