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Finding the Fourth Proportional to 206,833.40, 310,276.56 and 73,727.10

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Solution

The fourth proportional to 206,833.40, 310,276.56 and 73,727.10 is: 110,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,833.40 : 310,276.56 = 73,727.10 : x
  2. Step 2: Convert to fraction form
    206,833.40/310,276.56 = 73,727.10/x
  3. Step 3: Cross multiply
    206,833.40x = 310,276.56 × 73,727.10
  4. Step 4: Simplify right side
    206,833.40x = 22,875,790,966.78
  5. Step 5: Solve for x
    x = 22,875,790,966.78/206,833.40
  6. Step 6: Final answer
    x = 110,600.08

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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.