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Finding the Fourth Proportional to 120,133.72, 180,204.96 and 41,247.48

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Solution

The fourth proportional to 120,133.72, 180,204.96 and 41,247.48 is: 61,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,133.72 : 180,204.96 = 41,247.48 : x
  2. Step 2: Convert to fraction form
    120,133.72/180,204.96 = 41,247.48/x
  3. Step 3: Cross multiply
    120,133.72x = 180,204.96 × 41,247.48
  4. Step 4: Simplify right side
    120,133.72x = 7,433,000,483.50
  5. Step 5: Solve for x
    x = 7,433,000,483.50/120,133.72
  6. Step 6: Final answer
    x = 61,872.72

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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.