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Finding the Fourth Proportional to 211,023.30, 291,220.02 and 120,394.02

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Solution

The fourth proportional to 211,023.30, 291,220.02 and 120,394.02 is: 166,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,023.30 : 291,220.02 = 120,394.02 : x
  2. Step 2: Convert to fraction form
    211,023.30/291,220.02 = 120,394.02/x
  3. Step 3: Cross multiply
    211,023.30x = 291,220.02 × 120,394.02
  4. Step 4: Simplify right side
    211,023.30x = 35,061,148,912.28
  5. Step 5: Solve for x
    x = 35,061,148,912.28/211,023.30
  6. Step 6: Final answer
    x = 166,148.24

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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.