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Finding the Fourth Proportional to 211,475.52, 291,809.24 and 120,837.36

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Solution

The fourth proportional to 211,475.52, 291,809.24 and 120,837.36 is: 166,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,475.52 : 291,809.24 = 120,837.36 : x
  2. Step 2: Convert to fraction form
    211,475.52/291,809.24 = 120,837.36/x
  3. Step 3: Cross multiply
    211,475.52x = 291,809.24 × 120,837.36
  4. Step 4: Simplify right side
    211,475.52x = 35,261,458,185.21
  5. Step 5: Solve for x
    x = 35,261,458,185.21/211,475.52
  6. Step 6: Final answer
    x = 166,740.14

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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.