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Finding the Fourth Proportional to 211,523, 291,896.40 and 120,873.20

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Solution

The fourth proportional to 211,523, 291,896.40 and 120,873.20 is: 166,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,523 : 291,896.40 = 120,873.20 : x
  2. Step 2: Convert to fraction form
    211,523/291,896.40 = 120,873.20/x
  3. Step 3: Cross multiply
    211,523x = 291,896.40 × 120,873.20
  4. Step 4: Simplify right side
    211,523x = 35,282,451,936.48
  5. Step 5: Solve for x
    x = 35,282,451,936.48/211,523
  6. Step 6: Final answer
    x = 166,801.96

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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.