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Finding the Fourth Proportional to 221,382.38, 305,531.21 and 135,391.67

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Solution

The fourth proportional to 221,382.38, 305,531.21 and 135,391.67 is: 186,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,382.38 : 305,531.21 = 135,391.67 : x
  2. Step 2: Convert to fraction form
    221,382.38/305,531.21 = 135,391.67/x
  3. Step 3: Cross multiply
    221,382.38x = 305,531.21 × 135,391.67
  4. Step 4: Simplify right side
    221,382.38x = 41,366,378,554.41
  5. Step 5: Solve for x
    x = 41,366,378,554.41/221,382.38
  6. Step 6: Final answer
    x = 186,854.89

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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.