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Finding the Fourth Proportional to 211,143.85, 291,383.25 and 120,498.01

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Solution

The fourth proportional to 211,143.85, 291,383.25 and 120,498.01 is: 166,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,143.85 : 291,383.25 = 120,498.01 : x
  2. Step 2: Convert to fraction form
    211,143.85/291,383.25 = 120,498.01/x
  3. Step 3: Cross multiply
    211,143.85x = 291,383.25 × 120,498.01
  4. Step 4: Simplify right side
    211,143.85x = 35,111,100,592.01
  5. Step 5: Solve for x
    x = 35,111,100,592.01/211,143.85
  6. Step 6: Final answer
    x = 166,289.95

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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.