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Finding the Fourth Proportional to 206,871.20, 310,306.80 and 101,668.40

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Solution

The fourth proportional to 206,871.20, 310,306.80 and 101,668.40 is: 152,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,871.20 : 310,306.80 = 101,668.40 : x
  2. Step 2: Convert to fraction form
    206,871.20/310,306.80 = 101,668.40/x
  3. Step 3: Cross multiply
    206,871.20x = 310,306.80 × 101,668.40
  4. Step 4: Simplify right side
    206,871.20x = 31,548,395,865.12
  5. Step 5: Solve for x
    x = 31,548,395,865.12/206,871.20
  6. Step 6: Final answer
    x = 152,502.60

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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.