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Finding the Fourth Proportional to 211,144.97, 291,384.80 and 120,499.13

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Solution

The fourth proportional to 211,144.97, 291,384.80 and 120,499.13 is: 166,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,144.97 : 291,384.80 = 120,499.13 : x
  2. Step 2: Convert to fraction form
    211,144.97/291,384.80 = 120,499.13/x
  3. Step 3: Cross multiply
    211,144.97x = 291,384.80 × 120,499.13
  4. Step 4: Simplify right side
    211,144.97x = 35,111,615,473.06
  5. Step 5: Solve for x
    x = 35,111,615,473.06/211,144.97
  6. Step 6: Final answer
    x = 166,291.51

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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.