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Finding the Fourth Proportional to 98,217.50, 135,540.15 and 53,505.50

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Solution

The fourth proportional to 98,217.50, 135,540.15 and 53,505.50 is: 73,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,217.50 : 135,540.15 = 53,505.50 : x
  2. Step 2: Convert to fraction form
    98,217.50/135,540.15 = 53,505.50/x
  3. Step 3: Cross multiply
    98,217.50x = 135,540.15 × 53,505.50
  4. Step 4: Simplify right side
    98,217.50x = 7,252,143,495.83
  5. Step 5: Solve for x
    x = 7,252,143,495.83/98,217.50
  6. Step 6: Final answer
    x = 73,837.59

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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.