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Finding the Fourth Proportional to 120,271.52, 180,424.56 and 37,172

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Solution

The fourth proportional to 120,271.52, 180,424.56 and 37,172 is: 55,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,271.52 : 180,424.56 = 37,172 : x
  2. Step 2: Convert to fraction form
    120,271.52/180,424.56 = 37,172/x
  3. Step 3: Cross multiply
    120,271.52x = 180,424.56 × 37,172
  4. Step 4: Simplify right side
    120,271.52x = 6,706,741,744.32
  5. Step 5: Solve for x
    x = 6,706,741,744.32/120,271.52
  6. Step 6: Final answer
    x = 55,763.34

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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.