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Finding the Fourth Proportional to 146,481, 202,165.36 and 92,771

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Solution

The fourth proportional to 146,481, 202,165.36 and 92,771 is: 128,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,481 : 202,165.36 = 92,771 : x
  2. Step 2: Convert to fraction form
    146,481/202,165.36 = 92,771/x
  3. Step 3: Cross multiply
    146,481x = 202,165.36 × 92,771
  4. Step 4: Simplify right side
    146,481x = 18,755,082,612.56
  5. Step 5: Solve for x
    x = 18,755,082,612.56/146,481
  6. Step 6: Final answer
    x = 128,037.65

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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.