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Finding the Fourth Proportional to 165,308.72, 228,150.98 and 100,815.38

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Solution

The fourth proportional to 165,308.72, 228,150.98 and 100,815.38 is: 139,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,308.72 : 228,150.98 = 100,815.38 : x
  2. Step 2: Convert to fraction form
    165,308.72/228,150.98 = 100,815.38/x
  3. Step 3: Cross multiply
    165,308.72x = 228,150.98 × 100,815.38
  4. Step 4: Simplify right side
    165,308.72x = 23,001,126,101.24
  5. Step 5: Solve for x
    x = 23,001,126,101.24/165,308.72
  6. Step 6: Final answer
    x = 139,140.43

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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.