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Finding the Fourth Proportional to 203,473, 280,792.74 and 114,049

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Solution

The fourth proportional to 203,473, 280,792.74 and 114,049 is: 157,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,473 : 280,792.74 = 114,049 : x
  2. Step 2: Convert to fraction form
    203,473/280,792.74 = 114,049/x
  3. Step 3: Cross multiply
    203,473x = 280,792.74 × 114,049
  4. Step 4: Simplify right side
    203,473x = 32,024,131,204.26
  5. Step 5: Solve for x
    x = 32,024,131,204.26/203,473
  6. Step 6: Final answer
    x = 157,387.62

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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.