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Finding the Fourth Proportional to 120,307.68, 180,408.96 and 37,182.24

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Solution

The fourth proportional to 120,307.68, 180,408.96 and 37,182.24 is: 55,757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,307.68 : 180,408.96 = 37,182.24 : x
  2. Step 2: Convert to fraction form
    120,307.68/180,408.96 = 37,182.24/x
  3. Step 3: Cross multiply
    120,307.68x = 180,408.96 × 37,182.24
  4. Step 4: Simplify right side
    120,307.68x = 6,708,009,248.87
  5. Step 5: Solve for x
    x = 6,708,009,248.87/120,307.68
  6. Step 6: Final answer
    x = 55,757.12

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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.