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Finding the Fourth Proportional to 282,171.92, 389,396.16 and 154,849.64

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Solution

The fourth proportional to 282,171.92, 389,396.16 and 154,849.64 is: 213,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,171.92 : 389,396.16 = 154,849.64 : x
  2. Step 2: Convert to fraction form
    282,171.92/389,396.16 = 154,849.64/x
  3. Step 3: Cross multiply
    282,171.92x = 389,396.16 × 154,849.64
  4. Step 4: Simplify right side
    282,171.92x = 60,297,855,193.38
  5. Step 5: Solve for x
    x = 60,297,855,193.38/282,171.92
  6. Step 6: Final answer
    x = 213,691.91

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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.