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Finding the Fourth Proportional to 174,657.20, 261,985.80 and 148,413.20

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Solution

The fourth proportional to 174,657.20, 261,985.80 and 148,413.20 is: 222,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,657.20 : 261,985.80 = 148,413.20 : x
  2. Step 2: Convert to fraction form
    174,657.20/261,985.80 = 148,413.20/x
  3. Step 3: Cross multiply
    174,657.20x = 261,985.80 × 148,413.20
  4. Step 4: Simplify right side
    174,657.20x = 38,882,150,932.56
  5. Step 5: Solve for x
    x = 38,882,150,932.56/174,657.20
  6. Step 6: Final answer
    x = 222,619.80

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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.