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Finding the Fourth Proportional to 282,160.62, 389,381.85 and 154,843.20

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Solution

The fourth proportional to 282,160.62, 389,381.85 and 154,843.20 is: 213,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,160.62 : 389,381.85 = 154,843.20 : x
  2. Step 2: Convert to fraction form
    282,160.62/389,381.85 = 154,843.20/x
  3. Step 3: Cross multiply
    282,160.62x = 389,381.85 × 154,843.20
  4. Step 4: Simplify right side
    282,160.62x = 60,293,131,675.92
  5. Step 5: Solve for x
    x = 60,293,131,675.92/282,160.62
  6. Step 6: Final answer
    x = 213,683.72

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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.