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Finding the Fourth Proportional to 142,097.46, 213,067.82 and 57,836

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Solution

The fourth proportional to 142,097.46, 213,067.82 and 57,836 is: 86,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,097.46 : 213,067.82 = 57,836 : x
  2. Step 2: Convert to fraction form
    142,097.46/213,067.82 = 57,836/x
  3. Step 3: Cross multiply
    142,097.46x = 213,067.82 × 57,836
  4. Step 4: Simplify right side
    142,097.46x = 12,322,990,437.52
  5. Step 5: Solve for x
    x = 12,322,990,437.52/142,097.46
  6. Step 6: Final answer
    x = 86,722.10

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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.