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Finding the Fourth Proportional to 223,300.80, 335,235.42 and 144,743.76

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Solution

The fourth proportional to 223,300.80, 335,235.42 and 144,743.76 is: 217,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,300.80 : 335,235.42 = 144,743.76 : x
  2. Step 2: Convert to fraction form
    223,300.80/335,235.42 = 144,743.76/x
  3. Step 3: Cross multiply
    223,300.80x = 335,235.42 × 144,743.76
  4. Step 4: Simplify right side
    223,300.80x = 48,523,235,175.98
  5. Step 5: Solve for x
    x = 48,523,235,175.98/223,300.80
  6. Step 6: Final answer
    x = 217,299.87

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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.