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Finding the Fourth Proportional to 257,067.40, 385,439.10 and 107,411.80

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Solution

The fourth proportional to 257,067.40, 385,439.10 and 107,411.80 is: 161,050.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,067.40 : 385,439.10 = 107,411.80 : x
  2. Step 2: Convert to fraction form
    257,067.40/385,439.10 = 107,411.80/x
  3. Step 3: Cross multiply
    257,067.40x = 385,439.10 × 107,411.80
  4. Step 4: Simplify right side
    257,067.40x = 41,400,707,521.38
  5. Step 5: Solve for x
    x = 41,400,707,521.38/257,067.40
  6. Step 6: Final answer
    x = 161,050.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.