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Finding the Fourth Proportional to 223,781.60, 335,672.40 and 105,413.60

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Solution

The fourth proportional to 223,781.60, 335,672.40 and 105,413.60 is: 158,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,781.60 : 335,672.40 = 105,413.60 : x
  2. Step 2: Convert to fraction form
    223,781.60/335,672.40 = 105,413.60/x
  3. Step 3: Cross multiply
    223,781.60x = 335,672.40 × 105,413.60
  4. Step 4: Simplify right side
    223,781.60x = 35,384,436,104.64
  5. Step 5: Solve for x
    x = 35,384,436,104.64/223,781.60
  6. Step 6: Final answer
    x = 158,120.40

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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.