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Finding the Fourth Proportional to 98,238, 135,568.44 and 53,526

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Solution

The fourth proportional to 98,238, 135,568.44 and 53,526 is: 73,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,238 : 135,568.44 = 53,526 : x
  2. Step 2: Convert to fraction form
    98,238/135,568.44 = 53,526/x
  3. Step 3: Cross multiply
    98,238x = 135,568.44 × 53,526
  4. Step 4: Simplify right side
    98,238x = 7,256,436,319.44
  5. Step 5: Solve for x
    x = 7,256,436,319.44/98,238
  6. Step 6: Final answer
    x = 73,865.88

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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.