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Finding the Fourth Proportional to 150,308, 207,424.66 and 82,325

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Solution

The fourth proportional to 150,308, 207,424.66 and 82,325 is: 113,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,308 : 207,424.66 = 82,325 : x
  2. Step 2: Convert to fraction form
    150,308/207,424.66 = 82,325/x
  3. Step 3: Cross multiply
    150,308x = 207,424.66 × 82,325
  4. Step 4: Simplify right side
    150,308x = 17,076,235,134.50
  5. Step 5: Solve for x
    x = 17,076,235,134.50/150,308
  6. Step 6: Final answer
    x = 113,608.29

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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.