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Finding the Fourth Proportional to 120,205.34, 165,934.40 and 74,905.68

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Solution

The fourth proportional to 120,205.34, 165,934.40 and 74,905.68 is: 103,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,205.34 : 165,934.40 = 74,905.68 : x
  2. Step 2: Convert to fraction form
    120,205.34/165,934.40 = 74,905.68/x
  3. Step 3: Cross multiply
    120,205.34x = 165,934.40 × 74,905.68
  4. Step 4: Simplify right side
    120,205.34x = 12,429,429,067.39
  5. Step 5: Solve for x
    x = 12,429,429,067.39/120,205.34
  6. Step 6: Final answer
    x = 103,401.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.