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Finding the Fourth Proportional to 146,321.96, 219,313.51 and 67,270.28

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Solution

The fourth proportional to 146,321.96, 219,313.51 and 67,270.28 is: 100,827.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,321.96 : 219,313.51 = 67,270.28 : x
  2. Step 2: Convert to fraction form
    146,321.96/219,313.51 = 67,270.28/x
  3. Step 3: Cross multiply
    146,321.96x = 219,313.51 × 67,270.28
  4. Step 4: Simplify right side
    146,321.96x = 14,753,279,960.74
  5. Step 5: Solve for x
    x = 14,753,279,960.74/146,321.96
  6. Step 6: Final answer
    x = 100,827.52

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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.