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Finding the Fourth Proportional to 206,532.54, 309,831.24 and 88,204.50

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Solution

The fourth proportional to 206,532.54, 309,831.24 and 88,204.50 is: 132,320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,532.54 : 309,831.24 = 88,204.50 : x
  2. Step 2: Convert to fraction form
    206,532.54/309,831.24 = 88,204.50/x
  3. Step 3: Cross multiply
    206,532.54x = 309,831.24 × 88,204.50
  4. Step 4: Simplify right side
    206,532.54x = 27,328,509,608.58
  5. Step 5: Solve for x
    x = 27,328,509,608.58/206,532.54
  6. Step 6: Final answer
    x = 132,320.60

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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.