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Finding the Fourth Proportional to 211,315.87, 291,614.16 and 115,822.34

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Solution

The fourth proportional to 211,315.87, 291,614.16 and 115,822.34 is: 159,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,315.87 : 291,614.16 = 115,822.34 : x
  2. Step 2: Convert to fraction form
    211,315.87/291,614.16 = 115,822.34/x
  3. Step 3: Cross multiply
    211,315.87x = 291,614.16 × 115,822.34
  4. Step 4: Simplify right side
    211,315.87x = 33,775,434,388.33
  5. Step 5: Solve for x
    x = 33,775,434,388.33/211,315.87
  6. Step 6: Final answer
    x = 159,833.88

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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.