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Finding the Fourth Proportional to 216,459.08, 298,713 and 120,965.78

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Solution

The fourth proportional to 216,459.08, 298,713 and 120,965.78 is: 166,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,459.08 : 298,713 = 120,965.78 : x
  2. Step 2: Convert to fraction form
    216,459.08/298,713 = 120,965.78/x
  3. Step 3: Cross multiply
    216,459.08x = 298,713 × 120,965.78
  4. Step 4: Simplify right side
    216,459.08x = 36,134,051,041.14
  5. Step 5: Solve for x
    x = 36,134,051,041.14/216,459.08
  6. Step 6: Final answer
    x = 166,932.48

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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.