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Finding the Fourth Proportional to 281,723.72, 388,779.24 and 154,396.64

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Solution

The fourth proportional to 281,723.72, 388,779.24 and 154,396.64 is: 213,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,723.72 : 388,779.24 = 154,396.64 : x
  2. Step 2: Convert to fraction form
    281,723.72/388,779.24 = 154,396.64/x
  3. Step 3: Cross multiply
    281,723.72x = 388,779.24 × 154,396.64
  4. Step 4: Simplify right side
    281,723.72x = 60,026,208,357.75
  5. Step 5: Solve for x
    x = 60,026,208,357.75/281,723.72
  6. Step 6: Final answer
    x = 213,067.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.