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Finding the Fourth Proportional to 107,842.20, 161,859.30 and 63,413.40

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Solution

The fourth proportional to 107,842.20, 161,859.30 and 63,413.40 is: 95,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,842.20 : 161,859.30 = 63,413.40 : x
  2. Step 2: Convert to fraction form
    107,842.20/161,859.30 = 63,413.40/x
  3. Step 3: Cross multiply
    107,842.20x = 161,859.30 × 63,413.40
  4. Step 4: Simplify right side
    107,842.20x = 10,264,048,534.62
  5. Step 5: Solve for x
    x = 10,264,048,534.62/107,842.20
  6. Step 6: Final answer
    x = 95,176.55

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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.