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Finding the Fourth Proportional to 98,713, 136,227.18 and 54,001

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Solution

The fourth proportional to 98,713, 136,227.18 and 54,001 is: 74,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,713 : 136,227.18 = 54,001 : x
  2. Step 2: Convert to fraction form
    98,713/136,227.18 = 54,001/x
  3. Step 3: Cross multiply
    98,713x = 136,227.18 × 54,001
  4. Step 4: Simplify right side
    98,713x = 7,356,403,947.18
  5. Step 5: Solve for x
    x = 7,356,403,947.18/98,713
  6. Step 6: Final answer
    x = 74,523.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.