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Finding the Fourth Proportional to 223,595.70, 335,721.60 and 135,022.20

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Solution

The fourth proportional to 223,595.70, 335,721.60 and 135,022.20 is: 202,731.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,595.70 : 335,721.60 = 135,022.20 : x
  2. Step 2: Convert to fraction form
    223,595.70/335,721.60 = 135,022.20/x
  3. Step 3: Cross multiply
    223,595.70x = 335,721.60 × 135,022.20
  4. Step 4: Simplify right side
    223,595.70x = 45,329,869,019.52
  5. Step 5: Solve for x
    x = 45,329,869,019.52/223,595.70
  6. Step 6: Final answer
    x = 202,731.40

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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.