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Finding the Fourth Proportional to 211,009.78, 291,227.30 and 120,395.22

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Solution

The fourth proportional to 211,009.78, 291,227.30 and 120,395.22 is: 166,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,009.78 : 291,227.30 = 120,395.22 : x
  2. Step 2: Convert to fraction form
    211,009.78/291,227.30 = 120,395.22/x
  3. Step 3: Cross multiply
    211,009.78x = 291,227.30 × 120,395.22
  4. Step 4: Simplify right side
    211,009.78x = 35,062,374,853.51
  5. Step 5: Solve for x
    x = 35,062,374,853.51/211,009.78
  6. Step 6: Final answer
    x = 166,164.69

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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.