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Finding the Fourth Proportional to 228,869.84, 343,399.50 and 123,564.96

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Solution

The fourth proportional to 228,869.84, 343,399.50 and 123,564.96 is: 185,398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,869.84 : 343,399.50 = 123,564.96 : x
  2. Step 2: Convert to fraction form
    228,869.84/343,399.50 = 123,564.96/x
  3. Step 3: Cross multiply
    228,869.84x = 343,399.50 × 123,564.96
  4. Step 4: Simplify right side
    228,869.84x = 42,432,145,481.52
  5. Step 5: Solve for x
    x = 42,432,145,481.52/228,869.84
  6. Step 6: Final answer
    x = 185,398.59

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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.