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Finding the Fourth Proportional to 146,427.40, 202,082.34 and 82,776.52

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Solution

The fourth proportional to 146,427.40, 202,082.34 and 82,776.52 is: 114,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,427.40 : 202,082.34 = 82,776.52 : x
  2. Step 2: Convert to fraction form
    146,427.40/202,082.34 = 82,776.52/x
  3. Step 3: Cross multiply
    146,427.40x = 202,082.34 × 82,776.52
  4. Step 4: Simplify right side
    146,427.40x = 16,727,672,858.66
  5. Step 5: Solve for x
    x = 16,727,672,858.66/146,427.40
  6. Step 6: Final answer
    x = 114,238.68

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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.