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Finding the Fourth Proportional to 98,162.56, 147,242.22 and 24,290.56

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Solution

The fourth proportional to 98,162.56, 147,242.22 and 24,290.56 is: 36,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,162.56 : 147,242.22 = 24,290.56 : x
  2. Step 2: Convert to fraction form
    98,162.56/147,242.22 = 24,290.56/x
  3. Step 3: Cross multiply
    98,162.56x = 147,242.22 × 24,290.56
  4. Step 4: Simplify right side
    98,162.56x = 3,576,595,979.44
  5. Step 5: Solve for x
    x = 3,576,595,979.44/98,162.56
  6. Step 6: Final answer
    x = 36,435.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.