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Finding the Fourth Proportional to 211,063.56, 291,240.63 and 120,414.30

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Solution

The fourth proportional to 211,063.56, 291,240.63 and 120,414.30 is: 166,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,063.56 : 291,240.63 = 120,414.30 : x
  2. Step 2: Convert to fraction form
    211,063.56/291,240.63 = 120,414.30/x
  3. Step 3: Cross multiply
    211,063.56x = 291,240.63 × 120,414.30
  4. Step 4: Simplify right side
    211,063.56x = 35,069,536,593.01
  5. Step 5: Solve for x
    x = 35,069,536,593.01/211,063.56
  6. Step 6: Final answer
    x = 166,156.28

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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.