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Finding the Fourth Proportional to 264,175.36, 364,475.86 and 149,442.88

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Solution

The fourth proportional to 264,175.36, 364,475.86 and 149,442.88 is: 206,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,175.36 : 364,475.86 = 149,442.88 : x
  2. Step 2: Convert to fraction form
    264,175.36/364,475.86 = 149,442.88/x
  3. Step 3: Cross multiply
    264,175.36x = 364,475.86 × 149,442.88
  4. Step 4: Simplify right side
    264,175.36x = 54,468,322,208.88
  5. Step 5: Solve for x
    x = 54,468,322,208.88/264,175.36
  6. Step 6: Final answer
    x = 206,182.45

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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.