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Finding the Fourth Proportional to 349,138.50, 523,738.12 and 96,419.32

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Solution

The fourth proportional to 349,138.50, 523,738.12 and 96,419.32 is: 144,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,138.50 : 523,738.12 = 96,419.32 : x
  2. Step 2: Convert to fraction form
    349,138.50/523,738.12 = 96,419.32/x
  3. Step 3: Cross multiply
    349,138.50x = 523,738.12 × 96,419.32
  4. Step 4: Simplify right side
    349,138.50x = 50,498,473,388.48
  5. Step 5: Solve for x
    x = 50,498,473,388.48/349,138.50
  6. Step 6: Final answer
    x = 144,637.37

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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.