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Finding the Fourth Proportional to 218,261.16, 327,395.79 and 68,498.10

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Solution

The fourth proportional to 218,261.16, 327,395.79 and 68,498.10 is: 102,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,261.16 : 327,395.79 = 68,498.10 : x
  2. Step 2: Convert to fraction form
    218,261.16/327,395.79 = 68,498.10/x
  3. Step 3: Cross multiply
    218,261.16x = 327,395.79 × 68,498.10
  4. Step 4: Simplify right side
    218,261.16x = 22,425,989,563.00
  5. Step 5: Solve for x
    x = 22,425,989,563.00/218,261.16
  6. Step 6: Final answer
    x = 102,748.42

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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.