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Finding the Fourth Proportional to 340,099.92, 469,317.42 and 187,132.50

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Solution

The fourth proportional to 340,099.92, 469,317.42 and 187,132.50 is: 258,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,099.92 : 469,317.42 = 187,132.50 : x
  2. Step 2: Convert to fraction form
    340,099.92/469,317.42 = 187,132.50/x
  3. Step 3: Cross multiply
    340,099.92x = 469,317.42 × 187,132.50
  4. Step 4: Simplify right side
    340,099.92x = 87,824,542,098.15
  5. Step 5: Solve for x
    x = 87,824,542,098.15/340,099.92
  6. Step 6: Final answer
    x = 258,231.59

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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.