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Finding the Fourth Proportional to 253,119.50, 349,204.44 and 145,631.68

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Solution

The fourth proportional to 253,119.50, 349,204.44 and 145,631.68 is: 200,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,119.50 : 349,204.44 = 145,631.68 : x
  2. Step 2: Convert to fraction form
    253,119.50/349,204.44 = 145,631.68/x
  3. Step 3: Cross multiply
    253,119.50x = 349,204.44 × 145,631.68
  4. Step 4: Simplify right side
    253,119.50x = 50,855,229,260.66
  5. Step 5: Solve for x
    x = 50,855,229,260.66/253,119.50
  6. Step 6: Final answer
    x = 200,913.91

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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.