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Finding the Fourth Proportional to 96,929.60, 145,413.60 and 81,454.40

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Solution

The fourth proportional to 96,929.60, 145,413.60 and 81,454.40 is: 122,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,929.60 : 145,413.60 = 81,454.40 : x
  2. Step 2: Convert to fraction form
    96,929.60/145,413.60 = 81,454.40/x
  3. Step 3: Cross multiply
    96,929.60x = 145,413.60 × 81,454.40
  4. Step 4: Simplify right side
    96,929.60x = 11,844,577,539.84
  5. Step 5: Solve for x
    x = 11,844,577,539.84/96,929.60
  6. Step 6: Final answer
    x = 122,197.73

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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.