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Finding the Fourth Proportional to 173,141.30, 259,724.10 and 98,297.30

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Solution

The fourth proportional to 173,141.30, 259,724.10 and 98,297.30 is: 147,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,141.30 : 259,724.10 = 98,297.30 : x
  2. Step 2: Convert to fraction form
    173,141.30/259,724.10 = 98,297.30/x
  3. Step 3: Cross multiply
    173,141.30x = 259,724.10 × 98,297.30
  4. Step 4: Simplify right side
    173,141.30x = 25,530,177,774.93
  5. Step 5: Solve for x
    x = 25,530,177,774.93/173,141.30
  6. Step 6: Final answer
    x = 147,452.85

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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.