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Finding the Fourth Proportional to 107,224.52, 147,976.54 and 61,910.80

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Solution

The fourth proportional to 107,224.52, 147,976.54 and 61,910.80 is: 85,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,224.52 : 147,976.54 = 61,910.80 : x
  2. Step 2: Convert to fraction form
    107,224.52/147,976.54 = 61,910.80/x
  3. Step 3: Cross multiply
    107,224.52x = 147,976.54 × 61,910.80
  4. Step 4: Simplify right side
    107,224.52x = 9,161,345,447.91
  5. Step 5: Solve for x
    x = 9,161,345,447.91/107,224.52
  6. Step 6: Final answer
    x = 85,440.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.