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Finding the Fourth Proportional to 211,199.75, 291,453.90 and 114,401.39

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Solution

The fourth proportional to 211,199.75, 291,453.90 and 114,401.39 is: 157,872.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,199.75 : 291,453.90 = 114,401.39 : x
  2. Step 2: Convert to fraction form
    211,199.75/291,453.90 = 114,401.39/x
  3. Step 3: Cross multiply
    211,199.75x = 291,453.90 × 114,401.39
  4. Step 4: Simplify right side
    211,199.75x = 33,342,731,280.92
  5. Step 5: Solve for x
    x = 33,342,731,280.92/211,199.75
  6. Step 6: Final answer
    x = 157,872.97

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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.