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Finding the Fourth Proportional to 223,064.80, 334,597.20 and 205,784.80

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Solution

The fourth proportional to 223,064.80, 334,597.20 and 205,784.80 is: 308,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,064.80 : 334,597.20 = 205,784.80 : x
  2. Step 2: Convert to fraction form
    223,064.80/334,597.20 = 205,784.80/x
  3. Step 3: Cross multiply
    223,064.80x = 334,597.20 × 205,784.80
  4. Step 4: Simplify right side
    223,064.80x = 68,855,017,882.56
  5. Step 5: Solve for x
    x = 68,855,017,882.56/223,064.80
  6. Step 6: Final answer
    x = 308,677.20

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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.