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Finding the Fourth Proportional to 211,114.44, 291,265.65 and 120,405.21

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Solution

The fourth proportional to 211,114.44, 291,265.65 and 120,405.21 is: 166,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,114.44 : 291,265.65 = 120,405.21 : x
  2. Step 2: Convert to fraction form
    211,114.44/291,265.65 = 120,405.21/x
  3. Step 3: Cross multiply
    211,114.44x = 291,265.65 × 120,405.21
  4. Step 4: Simplify right side
    211,114.44x = 35,069,901,754.04
  5. Step 5: Solve for x
    x = 35,069,901,754.04/211,114.44
  6. Step 6: Final answer
    x = 166,117.97

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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.