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Finding the Fourth Proportional to 176,761.64, 243,936.19 and 96,194.36

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Solution

The fourth proportional to 176,761.64, 243,936.19 and 96,194.36 is: 132,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,761.64 : 243,936.19 = 96,194.36 : x
  2. Step 2: Convert to fraction form
    176,761.64/243,936.19 = 96,194.36/x
  3. Step 3: Cross multiply
    176,761.64x = 243,936.19 × 96,194.36
  4. Step 4: Simplify right side
    176,761.64x = 23,465,285,677.89
  5. Step 5: Solve for x
    x = 23,465,285,677.89/176,761.64
  6. Step 6: Final answer
    x = 132,751.01

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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.