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Finding the Fourth Proportional to 143,702.38, 198,309.34 and 83,308.03

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Solution

The fourth proportional to 143,702.38, 198,309.34 and 83,308.03 is: 114,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,702.38 : 198,309.34 = 83,308.03 : x
  2. Step 2: Convert to fraction form
    143,702.38/198,309.34 = 83,308.03/x
  3. Step 3: Cross multiply
    143,702.38x = 198,309.34 × 83,308.03
  4. Step 4: Simplify right side
    143,702.38x = 16,520,760,446.00
  5. Step 5: Solve for x
    x = 16,520,760,446.00/143,702.38
  6. Step 6: Final answer
    x = 114,965.11

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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.