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Finding the Fourth Proportional to 150,302, 207,423.24 and 83,234

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Solution

The fourth proportional to 150,302, 207,423.24 and 83,234 is: 114,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,302 : 207,423.24 = 83,234 : x
  2. Step 2: Convert to fraction form
    150,302/207,423.24 = 83,234/x
  3. Step 3: Cross multiply
    150,302x = 207,423.24 × 83,234
  4. Step 4: Simplify right side
    150,302x = 17,264,665,958.16
  5. Step 5: Solve for x
    x = 17,264,665,958.16/150,302
  6. Step 6: Final answer
    x = 114,866.51

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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.