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Finding the Fourth Proportional to 132,097.80, 197,772.30 and 102,568.20

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Solution

The fourth proportional to 132,097.80, 197,772.30 and 102,568.20 is: 153,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,097.80 : 197,772.30 = 102,568.20 : x
  2. Step 2: Convert to fraction form
    132,097.80/197,772.30 = 102,568.20/x
  3. Step 3: Cross multiply
    132,097.80x = 197,772.30 × 102,568.20
  4. Step 4: Simplify right side
    132,097.80x = 20,285,148,820.86
  5. Step 5: Solve for x
    x = 20,285,148,820.86/132,097.80
  6. Step 6: Final answer
    x = 153,561.59

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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.