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Finding the Fourth Proportional to 223,871.40, 335,807.10 and 206,764.20

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Solution

The fourth proportional to 223,871.40, 335,807.10 and 206,764.20 is: 310,146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,871.40 : 335,807.10 = 206,764.20 : x
  2. Step 2: Convert to fraction form
    223,871.40/335,807.10 = 206,764.20/x
  3. Step 3: Cross multiply
    223,871.40x = 335,807.10 × 206,764.20
  4. Step 4: Simplify right side
    223,871.40x = 69,432,886,385.82
  5. Step 5: Solve for x
    x = 69,432,886,385.82/223,871.40
  6. Step 6: Final answer
    x = 310,146.30

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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.