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Finding the Fourth Proportional to 233,666.38, 351,231.27 and 154,214.97

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Solution

The fourth proportional to 233,666.38, 351,231.27 and 154,214.97 is: 231,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,666.38 : 351,231.27 = 154,214.97 : x
  2. Step 2: Convert to fraction form
    233,666.38/351,231.27 = 154,214.97/x
  3. Step 3: Cross multiply
    233,666.38x = 351,231.27 × 154,214.97
  4. Step 4: Simplify right side
    233,666.38x = 54,165,121,029.73
  5. Step 5: Solve for x
    x = 54,165,121,029.73/233,666.38
  6. Step 6: Final answer
    x = 231,805.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.