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Finding the Fourth Proportional to 86,858.10, 130,287.15 and 81,609.30

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Solution

The fourth proportional to 86,858.10, 130,287.15 and 81,609.30 is: 122,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,858.10 : 130,287.15 = 81,609.30 : x
  2. Step 2: Convert to fraction form
    86,858.10/130,287.15 = 81,609.30/x
  3. Step 3: Cross multiply
    86,858.10x = 130,287.15 × 81,609.30
  4. Step 4: Simplify right side
    86,858.10x = 10,632,643,110.50
  5. Step 5: Solve for x
    x = 10,632,643,110.50/86,858.10
  6. Step 6: Final answer
    x = 122,413.95

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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.