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Finding the Fourth Proportional to 165,817.38, 228,763.01 and 102,044.46

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Solution

The fourth proportional to 165,817.38, 228,763.01 and 102,044.46 is: 140,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,817.38 : 228,763.01 = 102,044.46 : x
  2. Step 2: Convert to fraction form
    165,817.38/228,763.01 = 102,044.46/x
  3. Step 3: Cross multiply
    165,817.38x = 228,763.01 × 102,044.46
  4. Step 4: Simplify right side
    165,817.38x = 23,343,997,313.20
  5. Step 5: Solve for x
    x = 23,343,997,313.20/165,817.38
  6. Step 6: Final answer
    x = 140,781.37

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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.