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Finding the Fourth Proportional to 174,893.82, 260,976.73 and 156,044.31

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Solution

The fourth proportional to 174,893.82, 260,976.73 and 156,044.31 is: 232,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,893.82 : 260,976.73 = 156,044.31 : x
  2. Step 2: Convert to fraction form
    174,893.82/260,976.73 = 156,044.31/x
  3. Step 3: Cross multiply
    174,893.82x = 260,976.73 × 156,044.31
  4. Step 4: Simplify right side
    174,893.82x = 40,723,932,978.68
  5. Step 5: Solve for x
    x = 40,723,932,978.68/174,893.82
  6. Step 6: Final answer
    x = 232,849.47

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Why These Related Problems?

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