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Finding the Fourth Proportional to 101,986.80, 152,938.09 and 44,287.80

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Solution

The fourth proportional to 101,986.80, 152,938.09 and 44,287.80 is: 66,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,986.80 : 152,938.09 = 44,287.80 : x
  2. Step 2: Convert to fraction form
    101,986.80/152,938.09 = 44,287.80/x
  3. Step 3: Cross multiply
    101,986.80x = 152,938.09 × 44,287.80
  4. Step 4: Simplify right side
    101,986.80x = 6,773,291,024.14
  5. Step 5: Solve for x
    x = 6,773,291,024.14/101,986.80
  6. Step 6: Final answer
    x = 66,413.41

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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.