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Finding the Fourth Proportional to 132,064.80, 197,722.80 and 102,535.20

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Solution

The fourth proportional to 132,064.80, 197,722.80 and 102,535.20 is: 153,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,064.80 : 197,722.80 = 102,535.20 : x
  2. Step 2: Convert to fraction form
    132,064.80/197,722.80 = 102,535.20/x
  3. Step 3: Cross multiply
    132,064.80x = 197,722.80 × 102,535.20
  4. Step 4: Simplify right side
    132,064.80x = 20,273,546,842.56
  5. Step 5: Solve for x
    x = 20,273,546,842.56/132,064.80
  6. Step 6: Final answer
    x = 153,512.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.