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Finding the Fourth Proportional to 216,419.33, 298,657.85 and 120,926

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Solution

The fourth proportional to 216,419.33, 298,657.85 and 120,926 is: 166,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,419.33 : 298,657.85 = 120,926 : x
  2. Step 2: Convert to fraction form
    216,419.33/298,657.85 = 120,926/x
  3. Step 3: Cross multiply
    216,419.33x = 298,657.85 × 120,926
  4. Step 4: Simplify right side
    216,419.33x = 36,115,499,169.10
  5. Step 5: Solve for x
    x = 36,115,499,169.10/216,419.33
  6. Step 6: Final answer
    x = 166,877.42

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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.