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Finding the Fourth Proportional to 176,751.26, 243,912.77 and 96,179.00

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Solution

The fourth proportional to 176,751.26, 243,912.77 and 96,179.00 is: 132,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,751.26 : 243,912.77 = 96,179.00 : x
  2. Step 2: Convert to fraction form
    176,751.26/243,912.77 = 96,179.00/x
  3. Step 3: Cross multiply
    176,751.26x = 243,912.77 × 96,179.00
  4. Step 4: Simplify right side
    176,751.26x = 23,459,284,966.04
  5. Step 5: Solve for x
    x = 23,459,284,966.04/176,751.26
  6. Step 6: Final answer
    x = 132,724.85

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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.