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Finding the Fourth Proportional to 228,667.46, 343,118.19 and 108,859.82

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Solution

The fourth proportional to 228,667.46, 343,118.19 and 108,859.82 is: 163,345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,667.46 : 343,118.19 = 108,859.82 : x
  2. Step 2: Convert to fraction form
    228,667.46/343,118.19 = 108,859.82/x
  3. Step 3: Cross multiply
    228,667.46x = 343,118.19 × 108,859.82
  4. Step 4: Simplify right side
    228,667.46x = 37,351,784,402.13
  5. Step 5: Solve for x
    x = 37,351,784,402.13/228,667.46
  6. Step 6: Final answer
    x = 163,345.43

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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.