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Finding the Fourth Proportional to 211,208.50, 291,395.97 and 120,499.30

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Solution

The fourth proportional to 211,208.50, 291,395.97 and 120,499.30 is: 166,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,208.50 : 291,395.97 = 120,499.30 : x
  2. Step 2: Convert to fraction form
    211,208.50/291,395.97 = 120,499.30/x
  3. Step 3: Cross multiply
    211,208.50x = 291,395.97 × 120,499.30
  4. Step 4: Simplify right side
    211,208.50x = 35,113,010,407.82
  5. Step 5: Solve for x
    x = 35,113,010,407.82/211,208.50
  6. Step 6: Final answer
    x = 166,248.09

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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.