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Finding the Fourth Proportional to 120,408.64, 166,154.88 and 69,385.12

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Solution

The fourth proportional to 120,408.64, 166,154.88 and 69,385.12 is: 95,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,408.64 : 166,154.88 = 69,385.12 : x
  2. Step 2: Convert to fraction form
    120,408.64/166,154.88 = 69,385.12/x
  3. Step 3: Cross multiply
    120,408.64x = 166,154.88 × 69,385.12
  4. Step 4: Simplify right side
    120,408.64x = 11,528,676,287.39
  5. Step 5: Solve for x
    x = 11,528,676,287.39/120,408.64
  6. Step 6: Final answer
    x = 95,746.25

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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.