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Finding the Fourth Proportional to 165,813.12, 228,757.15 and 102,040.20

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Solution

The fourth proportional to 165,813.12, 228,757.15 and 102,040.20 is: 140,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,813.12 : 228,757.15 = 102,040.20 : x
  2. Step 2: Convert to fraction form
    165,813.12/228,757.15 = 102,040.20/x
  3. Step 3: Cross multiply
    165,813.12x = 228,757.15 × 102,040.20
  4. Step 4: Simplify right side
    165,813.12x = 23,342,425,337.43
  5. Step 5: Solve for x
    x = 23,342,425,337.43/165,813.12
  6. Step 6: Final answer
    x = 140,775.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.