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Finding the Fourth Proportional to 258,167.63, 356,304.74 and 144,990.38

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Solution

The fourth proportional to 258,167.63, 356,304.74 and 144,990.38 is: 200,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,167.63 : 356,304.74 = 144,990.38 : x
  2. Step 2: Convert to fraction form
    258,167.63/356,304.74 = 144,990.38/x
  3. Step 3: Cross multiply
    258,167.63x = 356,304.74 × 144,990.38
  4. Step 4: Simplify right side
    258,167.63x = 51,660,757,141.93
  5. Step 5: Solve for x
    x = 51,660,757,141.93/258,167.63
  6. Step 6: Final answer
    x = 200,105.48

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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.