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Finding the Fourth Proportional to 138,963.84, 208,342.08 and 65,074.56

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Solution

The fourth proportional to 138,963.84, 208,342.08 and 65,074.56 is: 97,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,963.84 : 208,342.08 = 65,074.56 : x
  2. Step 2: Convert to fraction form
    138,963.84/208,342.08 = 65,074.56/x
  3. Step 3: Cross multiply
    138,963.84x = 208,342.08 × 65,074.56
  4. Step 4: Simplify right side
    138,963.84x = 13,557,769,185.48
  5. Step 5: Solve for x
    x = 13,557,769,185.48/138,963.84
  6. Step 6: Final answer
    x = 97,563.29

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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.