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Finding the Fourth Proportional to 86,821.10, 121,724.50 and 86,821.10

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Solution

The fourth proportional to 86,821.10, 121,724.50 and 86,821.10 is: 121,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,821.10 : 121,724.50 = 86,821.10 : x
  2. Step 2: Convert to fraction form
    86,821.10/121,724.50 = 86,821.10/x
  3. Step 3: Cross multiply
    86,821.10x = 121,724.50 × 86,821.10
  4. Step 4: Simplify right side
    86,821.10x = 10,568,254,986.95
  5. Step 5: Solve for x
    x = 10,568,254,986.95/86,821.10
  6. Step 6: Final answer
    x = 121,724.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.