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Finding the Fourth Proportional to 211,522, 291,895.02 and 120,872.20

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Solution

The fourth proportional to 211,522, 291,895.02 and 120,872.20 is: 166,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,522 : 291,895.02 = 120,872.20 : x
  2. Step 2: Convert to fraction form
    211,522/291,895.02 = 120,872.20/x
  3. Step 3: Cross multiply
    211,522x = 291,895.02 × 120,872.20
  4. Step 4: Simplify right side
    211,522x = 35,281,993,236.44
  5. Step 5: Solve for x
    x = 35,281,993,236.44/211,522
  6. Step 6: Final answer
    x = 166,800.58

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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.