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Finding the Fourth Proportional to 276,257.33, 414,386.00 and 182,741.21

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Solution

The fourth proportional to 276,257.33, 414,386.00 and 182,741.21 is: 274,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,257.33 : 414,386.00 = 182,741.21 : x
  2. Step 2: Convert to fraction form
    276,257.33/414,386.00 = 182,741.21/x
  3. Step 3: Cross multiply
    276,257.33x = 414,386.00 × 182,741.21
  4. Step 4: Simplify right side
    276,257.33x = 75,725,398,300.65
  5. Step 5: Solve for x
    x = 75,725,398,300.65/276,257.33
  6. Step 6: Final answer
    x = 274,111.82

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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.