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Finding the Fourth Proportional to 167,408.88, 230,909.60 and 106,952.78

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Solution

The fourth proportional to 167,408.88, 230,909.60 and 106,952.78 is: 147,521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,408.88 : 230,909.60 = 106,952.78 : x
  2. Step 2: Convert to fraction form
    167,408.88/230,909.60 = 106,952.78/x
  3. Step 3: Cross multiply
    167,408.88x = 230,909.60 × 106,952.78
  4. Step 4: Simplify right side
    167,408.88x = 24,696,423,648.69
  5. Step 5: Solve for x
    x = 24,696,423,648.69/167,408.88
  6. Step 6: Final answer
    x = 147,521.59

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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.