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Finding the Fourth Proportional to 144,413.71, 216,726.98 and 68,512.46

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Solution

The fourth proportional to 144,413.71, 216,726.98 and 68,512.46 is: 102,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,413.71 : 216,726.98 = 68,512.46 : x
  2. Step 2: Convert to fraction form
    144,413.71/216,726.98 = 68,512.46/x
  3. Step 3: Cross multiply
    144,413.71x = 216,726.98 × 68,512.46
  4. Step 4: Simplify right side
    144,413.71x = 14,848,497,121.97
  5. Step 5: Solve for x
    x = 14,848,497,121.97/144,413.71
  6. Step 6: Final answer
    x = 102,819.17

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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.