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Finding the Fourth Proportional to 276,876.56, 382,089.89 and 149,552.26

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Solution

The fourth proportional to 276,876.56, 382,089.89 and 149,552.26 is: 206,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,876.56 : 382,089.89 = 149,552.26 : x
  2. Step 2: Convert to fraction form
    276,876.56/382,089.89 = 149,552.26/x
  3. Step 3: Cross multiply
    276,876.56x = 382,089.89 × 149,552.26
  4. Step 4: Simplify right side
    276,876.56x = 57,142,406,572.65
  5. Step 5: Solve for x
    x = 57,142,406,572.65/276,876.56
  6. Step 6: Final answer
    x = 206,382.25

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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.