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Finding the Fourth Proportional to 166,004.38, 229,079.24 and 98,043.22

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Solution

The fourth proportional to 166,004.38, 229,079.24 and 98,043.22 is: 135,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,004.38 : 229,079.24 = 98,043.22 : x
  2. Step 2: Convert to fraction form
    166,004.38/229,079.24 = 98,043.22/x
  3. Step 3: Cross multiply
    166,004.38x = 229,079.24 × 98,043.22
  4. Step 4: Simplify right side
    166,004.38x = 22,459,666,324.75
  5. Step 5: Solve for x
    x = 22,459,666,324.75/166,004.38
  6. Step 6: Final answer
    x = 135,295.62

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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.