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Finding the Fourth Proportional to 206,074.63, 284,424.51 and 140,837.64

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Solution

The fourth proportional to 206,074.63, 284,424.51 and 140,837.64 is: 194,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,074.63 : 284,424.51 = 140,837.64 : x
  2. Step 2: Convert to fraction form
    206,074.63/284,424.51 = 140,837.64/x
  3. Step 3: Cross multiply
    206,074.63x = 284,424.51 × 140,837.64
  4. Step 4: Simplify right side
    206,074.63x = 40,057,676,208.11
  5. Step 5: Solve for x
    x = 40,057,676,208.11/206,074.63
  6. Step 6: Final answer
    x = 194,384.32

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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.