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Finding the Fourth Proportional to 225,730.96, 338,667.96 and 135,872.08

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Solution

The fourth proportional to 225,730.96, 338,667.96 and 135,872.08 is: 203,851.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,730.96 : 338,667.96 = 135,872.08 : x
  2. Step 2: Convert to fraction form
    225,730.96/338,667.96 = 135,872.08/x
  3. Step 3: Cross multiply
    225,730.96x = 338,667.96 × 135,872.08
  4. Step 4: Simplify right side
    225,730.96x = 46,015,520,154.56
  5. Step 5: Solve for x
    x = 46,015,520,154.56/225,730.96
  6. Step 6: Final answer
    x = 203,851.17

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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.