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Finding the Fourth Proportional to 287,529.86, 396,792.83 and 166,742.86

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Solution

The fourth proportional to 287,529.86, 396,792.83 and 166,742.86 is: 230,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,529.86 : 396,792.83 = 166,742.86 : x
  2. Step 2: Convert to fraction form
    287,529.86/396,792.83 = 166,742.86/x
  3. Step 3: Cross multiply
    287,529.86x = 396,792.83 × 166,742.86
  4. Step 4: Simplify right side
    287,529.86x = 66,162,371,301.69
  5. Step 5: Solve for x
    x = 66,162,371,301.69/287,529.86
  6. Step 6: Final answer
    x = 230,106.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.