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Finding the Fourth Proportional to 211,416, 291,727.34 and 115,897.56

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Solution

The fourth proportional to 211,416, 291,727.34 and 115,897.56 is: 159,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,416 : 291,727.34 = 115,897.56 : x
  2. Step 2: Convert to fraction form
    211,416/291,727.34 = 115,897.56/x
  3. Step 3: Cross multiply
    211,416x = 291,727.34 × 115,897.56
  4. Step 4: Simplify right side
    211,416x = 33,810,486,891.29
  5. Step 5: Solve for x
    x = 33,810,486,891.29/211,416
  6. Step 6: Final answer
    x = 159,923.97

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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.