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Finding the Fourth Proportional to 120,078.33, 180,148.62 and 63,872.16

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Solution

The fourth proportional to 120,078.33, 180,148.62 and 63,872.16 is: 95,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078.33 : 180,148.62 = 63,872.16 : x
  2. Step 2: Convert to fraction form
    120,078.33/180,148.62 = 63,872.16/x
  3. Step 3: Cross multiply
    120,078.33x = 180,148.62 × 63,872.16
  4. Step 4: Simplify right side
    120,078.33x = 11,506,481,480.42
  5. Step 5: Solve for x
    x = 11,506,481,480.42/120,078.33
  6. Step 6: Final answer
    x = 95,824.80

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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.