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Finding the Fourth Proportional to 107,199.77, 160,686.20 and 36,054.68

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Solution

The fourth proportional to 107,199.77, 160,686.20 and 36,054.68 is: 54,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,199.77 : 160,686.20 = 36,054.68 : x
  2. Step 2: Convert to fraction form
    107,199.77/160,686.20 = 36,054.68/x
  3. Step 3: Cross multiply
    107,199.77x = 160,686.20 × 36,054.68
  4. Step 4: Simplify right side
    107,199.77x = 5,793,488,808.12
  5. Step 5: Solve for x
    x = 5,793,488,808.12/107,199.77
  6. Step 6: Final answer
    x = 54,043.86

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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.