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Finding the Fourth Proportional to 150,349.08, 225,626.16 and 97,041

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Solution

The fourth proportional to 150,349.08, 225,626.16 and 97,041 is: 145,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,349.08 : 225,626.16 = 97,041 : x
  2. Step 2: Convert to fraction form
    150,349.08/225,626.16 = 97,041/x
  3. Step 3: Cross multiply
    150,349.08x = 225,626.16 × 97,041
  4. Step 4: Simplify right side
    150,349.08x = 21,894,988,192.56
  5. Step 5: Solve for x
    x = 21,894,988,192.56/150,349.08
  6. Step 6: Final answer
    x = 145,627.68

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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.