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Finding the Fourth Proportional to 205,811.80, 308,717.70 and 72,842.20

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Solution

The fourth proportional to 205,811.80, 308,717.70 and 72,842.20 is: 109,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,811.80 : 308,717.70 = 72,842.20 : x
  2. Step 2: Convert to fraction form
    205,811.80/308,717.70 = 72,842.20/x
  3. Step 3: Cross multiply
    205,811.80x = 308,717.70 × 72,842.20
  4. Step 4: Simplify right side
    205,811.80x = 22,487,676,446.94
  5. Step 5: Solve for x
    x = 22,487,676,446.94/205,811.80
  6. Step 6: Final answer
    x = 109,263.30

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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.