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Finding the Fourth Proportional to 146,853.38, 202,659.10 and 83,189.82

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Solution

The fourth proportional to 146,853.38, 202,659.10 and 83,189.82 is: 114,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,853.38 : 202,659.10 = 83,189.82 : x
  2. Step 2: Convert to fraction form
    146,853.38/202,659.10 = 83,189.82/x
  3. Step 3: Cross multiply
    146,853.38x = 202,659.10 × 83,189.82
  4. Step 4: Simplify right side
    146,853.38x = 16,859,174,050.36
  5. Step 5: Solve for x
    x = 16,859,174,050.36/146,853.38
  6. Step 6: Final answer
    x = 114,802.76

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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.