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Finding the Fourth Proportional to 209,976.80, 314,965.20 and 156,832.70

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Solution

The fourth proportional to 209,976.80, 314,965.20 and 156,832.70 is: 235,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,976.80 : 314,965.20 = 156,832.70 : x
  2. Step 2: Convert to fraction form
    209,976.80/314,965.20 = 156,832.70/x
  3. Step 3: Cross multiply
    209,976.80x = 314,965.20 × 156,832.70
  4. Step 4: Simplify right side
    209,976.80x = 49,396,842,722.04
  5. Step 5: Solve for x
    x = 49,396,842,722.04/209,976.80
  6. Step 6: Final answer
    x = 235,249.05

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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.