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Finding the Fourth Proportional to 120,184.85, 165,906.16 and 74,885.22

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Solution

The fourth proportional to 120,184.85, 165,906.16 and 74,885.22 is: 103,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,184.85 : 165,906.16 = 74,885.22 : x
  2. Step 2: Convert to fraction form
    120,184.85/165,906.16 = 74,885.22/x
  3. Step 3: Cross multiply
    120,184.85x = 165,906.16 × 74,885.22
  4. Step 4: Simplify right side
    120,184.85x = 12,423,919,102.51
  5. Step 5: Solve for x
    x = 12,423,919,102.51/120,184.85
  6. Step 6: Final answer
    x = 103,373.42

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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.