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Finding the Fourth Proportional to 144,961.82, 217,264.26 and 69,100.26

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Solution

The fourth proportional to 144,961.82, 217,264.26 and 69,100.26 is: 103,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,961.82 : 217,264.26 = 69,100.26 : x
  2. Step 2: Convert to fraction form
    144,961.82/217,264.26 = 69,100.26/x
  3. Step 3: Cross multiply
    144,961.82x = 217,264.26 × 69,100.26
  4. Step 4: Simplify right side
    144,961.82x = 15,013,016,854.71
  5. Step 5: Solve for x
    x = 15,013,016,854.71/144,961.82
  6. Step 6: Final answer
    x = 103,565.32

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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.