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Finding the Fourth Proportional to 228,288.46, 315,164.77 and 137,667.38

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Solution

The fourth proportional to 228,288.46, 315,164.77 and 137,667.38 is: 190,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,288.46 : 315,164.77 = 137,667.38 : x
  2. Step 2: Convert to fraction form
    228,288.46/315,164.77 = 137,667.38/x
  3. Step 3: Cross multiply
    228,288.46x = 315,164.77 × 137,667.38
  4. Step 4: Simplify right side
    228,288.46x = 43,387,908,154.20
  5. Step 5: Solve for x
    x = 43,387,908,154.20/228,288.46
  6. Step 6: Final answer
    x = 190,057.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.