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Finding the Fourth Proportional to 165,814.38, 228,758.87 and 102,041.46

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Solution

The fourth proportional to 165,814.38, 228,758.87 and 102,041.46 is: 140,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,814.38 : 228,758.87 = 102,041.46 : x
  2. Step 2: Convert to fraction form
    165,814.38/228,758.87 = 102,041.46/x
  3. Step 3: Cross multiply
    165,814.38x = 228,758.87 × 102,041.46
  4. Step 4: Simplify right side
    165,814.38x = 23,342,889,337.85
  5. Step 5: Solve for x
    x = 23,342,889,337.85/165,814.38
  6. Step 6: Final answer
    x = 140,777.23

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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.