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Finding the Fourth Proportional to 282,191.82, 389,434.11 and 154,874.34

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Solution

The fourth proportional to 282,191.82, 389,434.11 and 154,874.34 is: 213,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,191.82 : 389,434.11 = 154,874.34 : x
  2. Step 2: Convert to fraction form
    282,191.82/389,434.11 = 154,874.34/x
  3. Step 3: Cross multiply
    282,191.82x = 389,434.11 × 154,874.34
  4. Step 4: Simplify right side
    282,191.82x = 60,313,350,759.74
  5. Step 5: Solve for x
    x = 60,313,350,759.74/282,191.82
  6. Step 6: Final answer
    x = 213,731.75

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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.