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Finding the Fourth Proportional to 274,293.42, 378,523.17 and 153,434.13

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Solution

The fourth proportional to 274,293.42, 378,523.17 and 153,434.13 is: 211,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,293.42 : 378,523.17 = 153,434.13 : x
  2. Step 2: Convert to fraction form
    274,293.42/378,523.17 = 153,434.13/x
  3. Step 3: Cross multiply
    274,293.42x = 378,523.17 × 153,434.13
  4. Step 4: Simplify right side
    274,293.42x = 58,078,373,273.79
  5. Step 5: Solve for x
    x = 58,078,373,273.79/274,293.42
  6. Step 6: Final answer
    x = 211,738.12

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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.