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Finding the Fourth Proportional to 150,917.60, 208,249.52 and 120,691.91

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Solution

The fourth proportional to 150,917.60, 208,249.52 and 120,691.91 is: 166,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,917.60 : 208,249.52 = 120,691.91 : x
  2. Step 2: Convert to fraction form
    150,917.60/208,249.52 = 120,691.91/x
  3. Step 3: Cross multiply
    150,917.60x = 208,249.52 × 120,691.91
  4. Step 4: Simplify right side
    150,917.60x = 25,134,032,242.55
  5. Step 5: Solve for x
    x = 25,134,032,242.55/150,917.60
  6. Step 6: Final answer
    x = 166,541.42

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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.