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Finding the Fourth Proportional to 206,838.28, 310,169.58 and 73,752.04

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Solution

The fourth proportional to 206,838.28, 310,169.58 and 73,752.04 is: 110,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838.28 : 310,169.58 = 73,752.04 : x
  2. Step 2: Convert to fraction form
    206,838.28/310,169.58 = 73,752.04/x
  3. Step 3: Cross multiply
    206,838.28x = 310,169.58 × 73,752.04
  4. Step 4: Simplify right side
    206,838.28x = 22,875,639,270.94
  5. Step 5: Solve for x
    x = 22,875,639,270.94/206,838.28
  6. Step 6: Final answer
    x = 110,596.74

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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.