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Finding the Fourth Proportional to 232,847.36, 349,022.36 and 132,792.11

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Solution

The fourth proportional to 232,847.36, 349,022.36 and 132,792.11 is: 199,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,847.36 : 349,022.36 = 132,792.11 : x
  2. Step 2: Convert to fraction form
    232,847.36/349,022.36 = 132,792.11/x
  3. Step 3: Cross multiply
    232,847.36x = 349,022.36 × 132,792.11
  4. Step 4: Simplify right side
    232,847.36x = 46,347,413,212.51
  5. Step 5: Solve for x
    x = 46,347,413,212.51/232,847.36
  6. Step 6: Final answer
    x = 199,046.34

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Why These Related Problems?

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