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Finding the Fourth Proportional to 120,077.33, 180,147.12 and 63,871.16

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Solution

The fourth proportional to 120,077.33, 180,147.12 and 63,871.16 is: 95,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,077.33 : 180,147.12 = 63,871.16 : x
  2. Step 2: Convert to fraction form
    120,077.33/180,147.12 = 63,871.16/x
  3. Step 3: Cross multiply
    120,077.33x = 180,147.12 × 63,871.16
  4. Step 4: Simplify right side
    120,077.33x = 11,506,205,205.70
  5. Step 5: Solve for x
    x = 11,506,205,205.70/120,077.33
  6. Step 6: Final answer
    x = 95,823.29

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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.