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Finding the Fourth Proportional to 120,638.34, 181,017.86 and 54,126

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Solution

The fourth proportional to 120,638.34, 181,017.86 and 54,126 is: 81,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,638.34 : 181,017.86 = 54,126 : x
  2. Step 2: Convert to fraction form
    120,638.34/181,017.86 = 54,126/x
  3. Step 3: Cross multiply
    120,638.34x = 181,017.86 × 54,126
  4. Step 4: Simplify right side
    120,638.34x = 9,797,772,419.73
  5. Step 5: Solve for x
    x = 9,797,772,419.73/120,638.34
  6. Step 6: Final answer
    x = 81,216.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.