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Finding the Fourth Proportional to 216,166.33, 298,223.80 and 144,432.73

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Solution

The fourth proportional to 216,166.33, 298,223.80 and 144,432.73 is: 199,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,166.33 : 298,223.80 = 144,432.73 : x
  2. Step 2: Convert to fraction form
    216,166.33/298,223.80 = 144,432.73/x
  3. Step 3: Cross multiply
    216,166.33x = 298,223.80 × 144,432.73
  4. Step 4: Simplify right side
    216,166.33x = 43,073,277,584.97
  5. Step 5: Solve for x
    x = 43,073,277,584.97/216,166.33
  6. Step 6: Final answer
    x = 199,259.88

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1.5x scale

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.