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Finding the Fourth Proportional to 206,801.64, 285,313.59 and 135,223.56

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Solution

The fourth proportional to 206,801.64, 285,313.59 and 135,223.56 is: 186,560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,801.64 : 285,313.59 = 135,223.56 : x
  2. Step 2: Convert to fraction form
    206,801.64/285,313.59 = 135,223.56/x
  3. Step 3: Cross multiply
    206,801.64x = 285,313.59 × 135,223.56
  4. Step 4: Simplify right side
    206,801.64x = 38,581,119,356.18
  5. Step 5: Solve for x
    x = 38,581,119,356.18/206,801.64
  6. Step 6: Final answer
    x = 186,560.99

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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.