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Finding the Fourth Proportional to 165,856.33, 228,649.85 and 140,259.77

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Solution

The fourth proportional to 165,856.33, 228,649.85 and 140,259.77 is: 193,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,856.33 : 228,649.85 = 140,259.77 : x
  2. Step 2: Convert to fraction form
    165,856.33/228,649.85 = 140,259.77/x
  3. Step 3: Cross multiply
    165,856.33x = 228,649.85 × 140,259.77
  4. Step 4: Simplify right side
    165,856.33x = 32,070,375,767.83
  5. Step 5: Solve for x
    x = 32,070,375,767.83/165,856.33
  6. Step 6: Final answer
    x = 193,362.38

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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.