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Finding the Fourth Proportional to 206,313.80, 309,437.48 and 56,519.06

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Solution

The fourth proportional to 206,313.80, 309,437.48 and 56,519.06 is: 84,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,313.80 : 309,437.48 = 56,519.06 : x
  2. Step 2: Convert to fraction form
    206,313.80/309,437.48 = 56,519.06/x
  3. Step 3: Cross multiply
    206,313.80x = 309,437.48 × 56,519.06
  4. Step 4: Simplify right side
    206,313.80x = 17,489,115,498.37
  5. Step 5: Solve for x
    x = 17,489,115,498.37/206,313.80
  6. Step 6: Final answer
    x = 84,769.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.