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Finding the Fourth Proportional to 120,568.16, 180,871.76 and 37,481.44

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Solution

The fourth proportional to 120,568.16, 180,871.76 and 37,481.44 is: 56,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,568.16 : 180,871.76 = 37,481.44 : x
  2. Step 2: Convert to fraction form
    120,568.16/180,871.76 = 37,481.44/x
  3. Step 3: Cross multiply
    120,568.16x = 180,871.76 × 37,481.44
  4. Step 4: Simplify right side
    120,568.16x = 6,779,334,020.13
  5. Step 5: Solve for x
    x = 6,779,334,020.13/120,568.16
  6. Step 6: Final answer
    x = 56,228.23

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Why These Related Problems?

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