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Finding the Fourth Proportional to 68,218.94, 102,139.47 and 34,867.19

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Solution

The fourth proportional to 68,218.94, 102,139.47 and 34,867.19 is: 52,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,218.94 : 102,139.47 = 34,867.19 : x
  2. Step 2: Convert to fraction form
    68,218.94/102,139.47 = 34,867.19/x
  3. Step 3: Cross multiply
    68,218.94x = 102,139.47 × 34,867.19
  4. Step 4: Simplify right side
    68,218.94x = 3,561,315,796.29
  5. Step 5: Solve for x
    x = 3,561,315,796.29/68,218.94
  6. Step 6: Final answer
    x = 52,204.21

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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.