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Finding the Fourth Proportional to 206,394.76, 284,808.18 and 114,517

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Solution

The fourth proportional to 206,394.76, 284,808.18 and 114,517 is: 158,024.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,394.76 : 284,808.18 = 114,517 : x
  2. Step 2: Convert to fraction form
    206,394.76/284,808.18 = 114,517/x
  3. Step 3: Cross multiply
    206,394.76x = 284,808.18 × 114,517
  4. Step 4: Simplify right side
    206,394.76x = 32,615,378,349.06
  5. Step 5: Solve for x
    x = 32,615,378,349.06/206,394.76
  6. Step 6: Final answer
    x = 158,024.26

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1.5x scale

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.