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Finding the Fourth Proportional to 223,409.40, 335,114.10 and 206,302.20

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Solution

The fourth proportional to 223,409.40, 335,114.10 and 206,302.20 is: 309,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,409.40 : 335,114.10 = 206,302.20 : x
  2. Step 2: Convert to fraction form
    223,409.40/335,114.10 = 206,302.20/x
  3. Step 3: Cross multiply
    223,409.40x = 335,114.10 × 206,302.20
  4. Step 4: Simplify right side
    223,409.40x = 69,134,776,081.02
  5. Step 5: Solve for x
    x = 69,134,776,081.02/223,409.40
  6. Step 6: Final answer
    x = 309,453.30

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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.