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Finding the Fourth Proportional to 228,324.89, 342,489.74 and 101,971.58

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Solution

The fourth proportional to 228,324.89, 342,489.74 and 101,971.58 is: 152,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,324.89 : 342,489.74 = 101,971.58 : x
  2. Step 2: Convert to fraction form
    228,324.89/342,489.74 = 101,971.58/x
  3. Step 3: Cross multiply
    228,324.89x = 342,489.74 × 101,971.58
  4. Step 4: Simplify right side
    228,324.89x = 34,924,217,699.28
  5. Step 5: Solve for x
    x = 34,924,217,699.28/228,324.89
  6. Step 6: Final answer
    x = 152,958.43

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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.