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Finding the Fourth Proportional to 132,162.70, 182,365.82 and 78,469.12

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Solution

The fourth proportional to 132,162.70, 182,365.82 and 78,469.12 is: 108,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,162.70 : 182,365.82 = 78,469.12 : x
  2. Step 2: Convert to fraction form
    132,162.70/182,365.82 = 78,469.12/x
  3. Step 3: Cross multiply
    132,162.70x = 182,365.82 × 78,469.12
  4. Step 4: Simplify right side
    132,162.70x = 14,310,085,153.74
  5. Step 5: Solve for x
    x = 14,310,085,153.74/132,162.70
  6. Step 6: Final answer
    x = 108,276.28

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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.