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Finding the Fourth Proportional to 167,407.89, 230,908.21 and 106,951.78

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Solution

The fourth proportional to 167,407.89, 230,908.21 and 106,951.78 is: 147,520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,407.89 : 230,908.21 = 106,951.78 : x
  2. Step 2: Convert to fraction form
    167,407.89/230,908.21 = 106,951.78/x
  3. Step 3: Cross multiply
    167,407.89x = 230,908.21 × 106,951.78
  4. Step 4: Simplify right side
    167,407.89x = 24,696,044,076.11
  5. Step 5: Solve for x
    x = 24,696,044,076.11/167,407.89
  6. Step 6: Final answer
    x = 147,520.19

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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.