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Finding the Fourth Proportional to 206,424.88, 284,843.56 and 115,762.19

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Solution

The fourth proportional to 206,424.88, 284,843.56 and 115,762.19 is: 159,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,424.88 : 284,843.56 = 115,762.19 : x
  2. Step 2: Convert to fraction form
    206,424.88/284,843.56 = 115,762.19/x
  3. Step 3: Cross multiply
    206,424.88x = 284,843.56 × 115,762.19
  4. Step 4: Simplify right side
    206,424.88x = 32,974,114,023.59
  5. Step 5: Solve for x
    x = 32,974,114,023.59/206,424.88
  6. Step 6: Final answer
    x = 159,739.05

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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.