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Finding the Fourth Proportional to 120,211.60, 165,891 and 66,496

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Solution

The fourth proportional to 120,211.60, 165,891 and 66,496 is: 91,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,211.60 : 165,891 = 66,496 : x
  2. Step 2: Convert to fraction form
    120,211.60/165,891 = 66,496/x
  3. Step 3: Cross multiply
    120,211.60x = 165,891 × 66,496
  4. Step 4: Simplify right side
    120,211.60x = 11,031,087,936
  5. Step 5: Solve for x
    x = 11,031,087,936/120,211.60
  6. Step 6: Final answer
    x = 91,763.92

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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.