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Finding the Fourth Proportional to 176,761.77, 243,936.36 and 96,194.49

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Solution

The fourth proportional to 176,761.77, 243,936.36 and 96,194.49 is: 132,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,761.77 : 243,936.36 = 96,194.49 : x
  2. Step 2: Convert to fraction form
    176,761.77/243,936.36 = 96,194.49/x
  3. Step 3: Cross multiply
    176,761.77x = 243,936.36 × 96,194.49
  4. Step 4: Simplify right side
    176,761.77x = 23,465,333,742.66
  5. Step 5: Solve for x
    x = 23,465,333,742.66/176,761.77
  6. Step 6: Final answer
    x = 132,751.18

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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.