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Finding the Fourth Proportional to 165,813.03, 228,757.02 and 102,040.11

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Solution

The fourth proportional to 165,813.03, 228,757.02 and 102,040.11 is: 140,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,813.03 : 228,757.02 = 102,040.11 : x
  2. Step 2: Convert to fraction form
    165,813.03/228,757.02 = 102,040.11/x
  3. Step 3: Cross multiply
    165,813.03x = 228,757.02 × 102,040.11
  4. Step 4: Simplify right side
    165,813.03x = 23,342,391,484.07
  5. Step 5: Solve for x
    x = 23,342,391,484.07/165,813.03
  6. Step 6: Final answer
    x = 140,775.38

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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.