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Finding the Fourth Proportional to 230,191.20, 317,712.87 and 154,695.96

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Solution

The fourth proportional to 230,191.20, 317,712.87 and 154,695.96 is: 213,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,191.20 : 317,712.87 = 154,695.96 : x
  2. Step 2: Convert to fraction form
    230,191.20/317,712.87 = 154,695.96/x
  3. Step 3: Cross multiply
    230,191.20x = 317,712.87 × 154,695.96
  4. Step 4: Simplify right side
    230,191.20x = 49,148,897,429.01
  5. Step 5: Solve for x
    x = 49,148,897,429.01/230,191.20
  6. Step 6: Final answer
    x = 213,513.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.