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Finding the Fourth Proportional to 120,498.13, 166,218.16 and 75,154.33

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Solution

The fourth proportional to 120,498.13, 166,218.16 and 75,154.33 is: 103,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,498.13 : 166,218.16 = 75,154.33 : x
  2. Step 2: Convert to fraction form
    120,498.13/166,218.16 = 75,154.33/x
  3. Step 3: Cross multiply
    120,498.13x = 166,218.16 × 75,154.33
  4. Step 4: Simplify right side
    120,498.13x = 12,492,013,241.77
  5. Step 5: Solve for x
    x = 12,492,013,241.77/120,498.13
  6. Step 6: Final answer
    x = 103,669.77

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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.