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Finding the Fourth Proportional to 211,102.01, 291,321.21 and 114,306.92

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Solution

The fourth proportional to 211,102.01, 291,321.21 and 114,306.92 is: 157,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,102.01 : 291,321.21 = 114,306.92 : x
  2. Step 2: Convert to fraction form
    211,102.01/291,321.21 = 114,306.92/x
  3. Step 3: Cross multiply
    211,102.01x = 291,321.21 × 114,306.92
  4. Step 4: Simplify right side
    211,102.01x = 33,300,028,217.63
  5. Step 5: Solve for x
    x = 33,300,028,217.63/211,102.01
  6. Step 6: Final answer
    x = 157,743.78

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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.