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Finding the Fourth Proportional to 176,796.81, 243,972.14 and 96,224.49

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Solution

The fourth proportional to 176,796.81, 243,972.14 and 96,224.49 is: 132,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,796.81 : 243,972.14 = 96,224.49 : x
  2. Step 2: Convert to fraction form
    176,796.81/243,972.14 = 96,224.49/x
  3. Step 3: Cross multiply
    176,796.81x = 243,972.14 × 96,224.49
  4. Step 4: Simplify right side
    176,796.81x = 23,476,094,264.59
  5. Step 5: Solve for x
    x = 23,476,094,264.59/176,796.81
  6. Step 6: Final answer
    x = 132,785.73

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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.