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Finding the Fourth Proportional to 132,857.36, 199,333.56 and 56,924

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Solution

The fourth proportional to 132,857.36, 199,333.56 and 56,924 is: 85,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,857.36 : 199,333.56 = 56,924 : x
  2. Step 2: Convert to fraction form
    132,857.36/199,333.56 = 56,924/x
  3. Step 3: Cross multiply
    132,857.36x = 199,333.56 × 56,924
  4. Step 4: Simplify right side
    132,857.36x = 11,346,863,569.44
  5. Step 5: Solve for x
    x = 11,346,863,569.44/132,857.36
  6. Step 6: Final answer
    x = 85,406.36

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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.