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Finding the Fourth Proportional to 96,114.54, 144,192.06 and 36,143.40

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Solution

The fourth proportional to 96,114.54, 144,192.06 and 36,143.40 is: 54,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,114.54 : 144,192.06 = 36,143.40 : x
  2. Step 2: Convert to fraction form
    96,114.54/144,192.06 = 36,143.40/x
  3. Step 3: Cross multiply
    96,114.54x = 144,192.06 × 36,143.40
  4. Step 4: Simplify right side
    96,114.54x = 5,211,591,301.40
  5. Step 5: Solve for x
    x = 5,211,591,301.40/96,114.54
  6. Step 6: Final answer
    x = 54,222.71

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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.