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Finding the Fourth Proportional to 68,253.17, 102,267.97 and 65,661.17

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Solution

The fourth proportional to 68,253.17, 102,267.97 and 65,661.17 is: 98,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,253.17 : 102,267.97 = 65,661.17 : x
  2. Step 2: Convert to fraction form
    68,253.17/102,267.97 = 65,661.17/x
  3. Step 3: Cross multiply
    68,253.17x = 102,267.97 × 65,661.17
  4. Step 4: Simplify right side
    68,253.17x = 6,715,033,888.23
  5. Step 5: Solve for x
    x = 6,715,033,888.23/68,253.17
  6. Step 6: Final answer
    x = 98,384.21

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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.