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Finding the Fourth Proportional to 186,413.20, 279,619.80 and 157,544.80

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Solution

The fourth proportional to 186,413.20, 279,619.80 and 157,544.80 is: 236,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,413.20 : 279,619.80 = 157,544.80 : x
  2. Step 2: Convert to fraction form
    186,413.20/279,619.80 = 157,544.80/x
  3. Step 3: Cross multiply
    186,413.20x = 279,619.80 × 157,544.80
  4. Step 4: Simplify right side
    186,413.20x = 44,052,645,467.04
  5. Step 5: Solve for x
    x = 44,052,645,467.04/186,413.20
  6. Step 6: Final answer
    x = 236,317.20

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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.