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Finding the Fourth Proportional to 96,138.50, 144,238.52 and 46,222.25

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Solution

The fourth proportional to 96,138.50, 144,238.52 and 46,222.25 is: 69,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,138.50 : 144,238.52 = 46,222.25 : x
  2. Step 2: Convert to fraction form
    96,138.50/144,238.52 = 46,222.25/x
  3. Step 3: Cross multiply
    96,138.50x = 144,238.52 × 46,222.25
  4. Step 4: Simplify right side
    96,138.50x = 6,667,028,325.43
  5. Step 5: Solve for x
    x = 6,667,028,325.43/96,138.50
  6. Step 6: Final answer
    x = 69,348.17

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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.