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Finding the Fourth Proportional to 228,472.68, 342,791.01 and 102,102.34

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Solution

The fourth proportional to 228,472.68, 342,791.01 and 102,102.34 is: 153,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,472.68 : 342,791.01 = 102,102.34 : x
  2. Step 2: Convert to fraction form
    228,472.68/342,791.01 = 102,102.34/x
  3. Step 3: Cross multiply
    228,472.68x = 342,791.01 × 102,102.34
  4. Step 4: Simplify right side
    228,472.68x = 34,999,764,251.96
  5. Step 5: Solve for x
    x = 34,999,764,251.96/228,472.68
  6. Step 6: Final answer
    x = 153,190.15

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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.