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Finding the Fourth Proportional to 120,264.80, 180,469.04 and 64,146.56

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Solution

The fourth proportional to 120,264.80, 180,469.04 and 64,146.56 is: 96,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,264.80 : 180,469.04 = 64,146.56 : x
  2. Step 2: Convert to fraction form
    120,264.80/180,469.04 = 64,146.56/x
  3. Step 3: Cross multiply
    120,264.80x = 180,469.04 × 64,146.56
  4. Step 4: Simplify right side
    120,264.80x = 11,576,468,102.50
  5. Step 5: Solve for x
    x = 11,576,468,102.50/120,264.80
  6. Step 6: Final answer
    x = 96,258.16

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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.