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Finding the Fourth Proportional to 120,299.52, 180,466.56 and 37,200

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Solution

The fourth proportional to 120,299.52, 180,466.56 and 37,200 is: 55,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,299.52 : 180,466.56 = 37,200 : x
  2. Step 2: Convert to fraction form
    120,299.52/180,466.56 = 37,200/x
  3. Step 3: Cross multiply
    120,299.52x = 180,466.56 × 37,200
  4. Step 4: Simplify right side
    120,299.52x = 6,713,356,032
  5. Step 5: Solve for x
    x = 6,713,356,032/120,299.52
  6. Step 6: Final answer
    x = 55,805.34

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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.