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Finding the Fourth Proportional to 132,290.82, 198,410.04 and 64,793.93

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Solution

The fourth proportional to 132,290.82, 198,410.04 and 64,793.93 is: 97,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,290.82 : 198,410.04 = 64,793.93 : x
  2. Step 2: Convert to fraction form
    132,290.82/198,410.04 = 64,793.93/x
  3. Step 3: Cross multiply
    132,290.82x = 198,410.04 × 64,793.93
  4. Step 4: Simplify right side
    132,290.82x = 12,855,765,251.01
  5. Step 5: Solve for x
    x = 12,855,765,251.01/132,290.82
  6. Step 6: Final answer
    x = 97,178.06

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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.