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Finding the Fourth Proportional to 206,274.48, 284,557.52 and 134,621.36

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Solution

The fourth proportional to 206,274.48, 284,557.52 and 134,621.36 is: 185,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,274.48 : 284,557.52 = 134,621.36 : x
  2. Step 2: Convert to fraction form
    206,274.48/284,557.52 = 134,621.36/x
  3. Step 3: Cross multiply
    206,274.48x = 284,557.52 × 134,621.36
  4. Step 4: Simplify right side
    206,274.48x = 38,307,520,340.63
  5. Step 5: Solve for x
    x = 38,307,520,340.63/206,274.48
  6. Step 6: Final answer
    x = 185,711.39

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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.