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Finding the Fourth Proportional to 274,491.92, 378,712.49 and 153,614.00

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Solution

The fourth proportional to 274,491.92, 378,712.49 and 153,614.00 is: 211,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,491.92 : 378,712.49 = 153,614.00 : x
  2. Step 2: Convert to fraction form
    274,491.92/378,712.49 = 153,614.00/x
  3. Step 3: Cross multiply
    274,491.92x = 378,712.49 × 153,614.00
  4. Step 4: Simplify right side
    274,491.92x = 58,175,537,777.23
  5. Step 5: Solve for x
    x = 58,175,537,777.23/274,491.92
  6. Step 6: Final answer
    x = 211,938.98

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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.