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Finding the Fourth Proportional to 176,761.32, 243,935.81 and 96,194.07

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Solution

The fourth proportional to 176,761.32, 243,935.81 and 96,194.07 is: 132,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,761.32 : 243,935.81 = 96,194.07 : x
  2. Step 2: Convert to fraction form
    176,761.32/243,935.81 = 96,194.07/x
  3. Step 3: Cross multiply
    176,761.32x = 243,935.81 × 96,194.07
  4. Step 4: Simplify right side
    176,761.32x = 23,465,177,901.68
  5. Step 5: Solve for x
    x = 23,465,177,901.68/176,761.32
  6. Step 6: Final answer
    x = 132,750.64

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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.