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Finding the Fourth Proportional to 211,031.52, 291,251.24 and 120,366.72

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Solution

The fourth proportional to 211,031.52, 291,251.24 and 120,366.72 is: 166,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,031.52 : 291,251.24 = 120,366.72 : x
  2. Step 2: Convert to fraction form
    211,031.52/291,251.24 = 120,366.72/x
  3. Step 3: Cross multiply
    211,031.52x = 291,251.24 × 120,366.72
  4. Step 4: Simplify right side
    211,031.52x = 35,056,956,454.73
  5. Step 5: Solve for x
    x = 35,056,956,454.73/211,031.52
  6. Step 6: Final answer
    x = 166,121.90

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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.