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Finding the Fourth Proportional to 211,159.71, 291,408.44 and 120,530.43

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Solution

The fourth proportional to 211,159.71, 291,408.44 and 120,530.43 is: 166,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,159.71 : 291,408.44 = 120,530.43 : x
  2. Step 2: Convert to fraction form
    211,159.71/291,408.44 = 120,530.43/x
  3. Step 3: Cross multiply
    211,159.71x = 291,408.44 × 120,530.43
  4. Step 4: Simplify right side
    211,159.71x = 35,123,583,976.18
  5. Step 5: Solve for x
    x = 35,123,583,976.18/211,159.71
  6. Step 6: Final answer
    x = 166,336.58

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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.