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Finding the Fourth Proportional to 165,908.57, 247,651.65 and 142,367.40

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Solution

The fourth proportional to 165,908.57, 247,651.65 and 142,367.40 is: 212,511.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,908.57 : 247,651.65 = 142,367.40 : x
  2. Step 2: Convert to fraction form
    165,908.57/247,651.65 = 142,367.40/x
  3. Step 3: Cross multiply
    165,908.57x = 247,651.65 × 142,367.40
  4. Step 4: Simplify right side
    165,908.57x = 35,257,521,516.21
  5. Step 5: Solve for x
    x = 35,257,521,516.21/165,908.57
  6. Step 6: Final answer
    x = 212,511.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.