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Finding the Fourth Proportional to 150,082, 207,119.64 and 83,014

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Solution

The fourth proportional to 150,082, 207,119.64 and 83,014 is: 114,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,082 : 207,119.64 = 83,014 : x
  2. Step 2: Convert to fraction form
    150,082/207,119.64 = 83,014/x
  3. Step 3: Cross multiply
    150,082x = 207,119.64 × 83,014
  4. Step 4: Simplify right side
    150,082x = 17,193,829,794.96
  5. Step 5: Solve for x
    x = 17,193,829,794.96/150,082
  6. Step 6: Final answer
    x = 114,562.90

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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.