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Finding the Fourth Proportional to 206,597.13, 310,061.76 and 106,786.56

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Solution

The fourth proportional to 206,597.13, 310,061.76 and 106,786.56 is: 160,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,597.13 : 310,061.76 = 106,786.56 : x
  2. Step 2: Convert to fraction form
    206,597.13/310,061.76 = 106,786.56/x
  3. Step 3: Cross multiply
    206,597.13x = 310,061.76 × 106,786.56
  4. Step 4: Simplify right side
    206,597.13x = 33,110,428,737.95
  5. Step 5: Solve for x
    x = 33,110,428,737.95/206,597.13
  6. Step 6: Final answer
    x = 160,265.68

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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.