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Finding the Fourth Proportional to 154,564.40, 231,659.40 and 65,631.20

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Solution

The fourth proportional to 154,564.40, 231,659.40 and 65,631.20 is: 98,367.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,564.40 : 231,659.40 = 65,631.20 : x
  2. Step 2: Convert to fraction form
    154,564.40/231,659.40 = 65,631.20/x
  3. Step 3: Cross multiply
    154,564.40x = 231,659.40 × 65,631.20
  4. Step 4: Simplify right side
    154,564.40x = 15,204,084,413.28
  5. Step 5: Solve for x
    x = 15,204,084,413.28/154,564.40
  6. Step 6: Final answer
    x = 98,367.31

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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.