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Finding the Fourth Proportional to 217,766.40, 300,564.48 and 132,865.28

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Solution

The fourth proportional to 217,766.40, 300,564.48 and 132,865.28 is: 183,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,766.40 : 300,564.48 = 132,865.28 : x
  2. Step 2: Convert to fraction form
    217,766.40/300,564.48 = 132,865.28/x
  3. Step 3: Cross multiply
    217,766.40x = 300,564.48 × 132,865.28
  4. Step 4: Simplify right side
    217,766.40x = 39,934,583,793.25
  5. Step 5: Solve for x
    x = 39,934,583,793.25/217,766.40
  6. Step 6: Final answer
    x = 183,382.67

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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.