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Finding the Fourth Proportional to 230,099.40, 344,943.90 and 89,825.40

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Solution

The fourth proportional to 230,099.40, 344,943.90 and 89,825.40 is: 134,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,099.40 : 344,943.90 = 89,825.40 : x
  2. Step 2: Convert to fraction form
    230,099.40/344,943.90 = 89,825.40/x
  3. Step 3: Cross multiply
    230,099.40x = 344,943.90 × 89,825.40
  4. Step 4: Simplify right side
    230,099.40x = 30,984,723,795.06
  5. Step 5: Solve for x
    x = 30,984,723,795.06/230,099.40
  6. Step 6: Final answer
    x = 134,657.99

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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.