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Finding the Fourth Proportional to 206,966.14, 310,440.56 and 59,222.14

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Solution

The fourth proportional to 206,966.14, 310,440.56 and 59,222.14 is: 88,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,966.14 : 310,440.56 = 59,222.14 : x
  2. Step 2: Convert to fraction form
    206,966.14/310,440.56 = 59,222.14/x
  3. Step 3: Cross multiply
    206,966.14x = 310,440.56 × 59,222.14
  4. Step 4: Simplify right side
    206,966.14x = 18,384,954,306.00
  5. Step 5: Solve for x
    x = 18,384,954,306.00/206,966.14
  6. Step 6: Final answer
    x = 88,830.73

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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.