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Finding the Fourth Proportional to 211,195.72, 291,450.34 and 114,399.78

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Solution

The fourth proportional to 211,195.72, 291,450.34 and 114,399.78 is: 157,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,195.72 : 291,450.34 = 114,399.78 : x
  2. Step 2: Convert to fraction form
    211,195.72/291,450.34 = 114,399.78/x
  3. Step 3: Cross multiply
    211,195.72x = 291,450.34 × 114,399.78
  4. Step 4: Simplify right side
    211,195.72x = 33,341,854,776.93
  5. Step 5: Solve for x
    x = 33,341,854,776.93/211,195.72
  6. Step 6: Final answer
    x = 157,871.83

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