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Finding the Fourth Proportional to 107,197.80, 160,819.80 and 36,127.56

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Solution

The fourth proportional to 107,197.80, 160,819.80 and 36,127.56 is: 54,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,197.80 : 160,819.80 = 36,127.56 : x
  2. Step 2: Convert to fraction form
    107,197.80/160,819.80 = 36,127.56/x
  3. Step 3: Cross multiply
    107,197.80x = 160,819.80 × 36,127.56
  4. Step 4: Simplify right side
    107,197.80x = 5,810,026,973.69
  5. Step 5: Solve for x
    x = 5,810,026,973.69/107,197.80
  6. Step 6: Final answer
    x = 54,199.13

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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.