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Finding the Fourth Proportional to 206,952.80, 310,429.20 and 153,808.70

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Solution

The fourth proportional to 206,952.80, 310,429.20 and 153,808.70 is: 230,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,952.80 : 310,429.20 = 153,808.70 : x
  2. Step 2: Convert to fraction form
    206,952.80/310,429.20 = 153,808.70/x
  3. Step 3: Cross multiply
    206,952.80x = 310,429.20 × 153,808.70
  4. Step 4: Simplify right side
    206,952.80x = 47,746,711,694.04
  5. Step 5: Solve for x
    x = 47,746,711,694.04/206,952.80
  6. Step 6: Final answer
    x = 230,713.05

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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.