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Finding the Fourth Proportional to 120,112, 180,197.16 and 37,006

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Solution

The fourth proportional to 120,112, 180,197.16 and 37,006 is: 55,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,112 : 180,197.16 = 37,006 : x
  2. Step 2: Convert to fraction form
    120,112/180,197.16 = 37,006/x
  3. Step 3: Cross multiply
    120,112x = 180,197.16 × 37,006
  4. Step 4: Simplify right side
    120,112x = 6,668,376,102.96
  5. Step 5: Solve for x
    x = 6,668,376,102.96/120,112
  6. Step 6: Final answer
    x = 55,517.98

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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.