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Finding the Fourth Proportional to 144,169.97, 216,301.22 and 69,295.54

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Solution

The fourth proportional to 144,169.97, 216,301.22 and 69,295.54 is: 103,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,169.97 : 216,301.22 = 69,295.54 : x
  2. Step 2: Convert to fraction form
    144,169.97/216,301.22 = 69,295.54/x
  3. Step 3: Cross multiply
    144,169.97x = 216,301.22 × 69,295.54
  4. Step 4: Simplify right side
    144,169.97x = 14,988,708,955.33
  5. Step 5: Solve for x
    x = 14,988,708,955.33/144,169.97
  6. Step 6: Final answer
    x = 103,965.54

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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.