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Finding the Fourth Proportional to 96,413.80, 144,966.30 and 81,207.40

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Solution

The fourth proportional to 96,413.80, 144,966.30 and 81,207.40 is: 122,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,413.80 : 144,966.30 = 81,207.40 : x
  2. Step 2: Convert to fraction form
    96,413.80/144,966.30 = 81,207.40/x
  3. Step 3: Cross multiply
    96,413.80x = 144,966.30 × 81,207.40
  4. Step 4: Simplify right side
    96,413.80x = 11,772,336,310.62
  5. Step 5: Solve for x
    x = 11,772,336,310.62/96,413.80
  6. Step 6: Final answer
    x = 122,102.19

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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.