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Finding the Fourth Proportional to 146,593.60, 219,891.27 and 41,413.48

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Solution

The fourth proportional to 146,593.60, 219,891.27 and 41,413.48 is: 62,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,593.60 : 219,891.27 = 41,413.48 : x
  2. Step 2: Convert to fraction form
    146,593.60/219,891.27 = 41,413.48/x
  3. Step 3: Cross multiply
    146,593.60x = 219,891.27 × 41,413.48
  4. Step 4: Simplify right side
    146,593.60x = 9,106,462,712.32
  5. Step 5: Solve for x
    x = 9,106,462,712.32/146,593.60
  6. Step 6: Final answer
    x = 62,120.47

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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.