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Finding the Fourth Proportional to 156,102.50, 234,134 and 49,487.49

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Solution

The fourth proportional to 156,102.50, 234,134 and 49,487.49 is: 74,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,102.50 : 234,134 = 49,487.49 : x
  2. Step 2: Convert to fraction form
    156,102.50/234,134 = 49,487.49/x
  3. Step 3: Cross multiply
    156,102.50x = 234,134 × 49,487.49
  4. Step 4: Simplify right side
    156,102.50x = 11,586,703,983.66
  5. Step 5: Solve for x
    x = 11,586,703,983.66/156,102.50
  6. Step 6: Final answer
    x = 74,224.97

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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.