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Finding the Fourth Proportional to 98,266, 135,606.96 and 53,554

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Solution

The fourth proportional to 98,266, 135,606.96 and 53,554 is: 73,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,266 : 135,606.96 = 53,554 : x
  2. Step 2: Convert to fraction form
    98,266/135,606.96 = 53,554/x
  3. Step 3: Cross multiply
    98,266x = 135,606.96 × 53,554
  4. Step 4: Simplify right side
    98,266x = 7,262,295,135.84
  5. Step 5: Solve for x
    x = 7,262,295,135.84/98,266
  6. Step 6: Final answer
    x = 73,904.45

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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.