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Finding the Fourth Proportional to 98,206.50, 135,524.97 and 53,494.50

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Solution

The fourth proportional to 98,206.50, 135,524.97 and 53,494.50 is: 73,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,206.50 : 135,524.97 = 53,494.50 : x
  2. Step 2: Convert to fraction form
    98,206.50/135,524.97 = 53,494.50/x
  3. Step 3: Cross multiply
    98,206.50x = 135,524.97 × 53,494.50
  4. Step 4: Simplify right side
    98,206.50x = 7,249,840,507.67
  5. Step 5: Solve for x
    x = 7,249,840,507.67/98,206.50
  6. Step 6: Final answer
    x = 73,822.41

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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.