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Finding the Fourth Proportional to 413,761.86, 620,641.86 and 110,156.10

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Solution

The fourth proportional to 413,761.86, 620,641.86 and 110,156.10 is: 165,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,761.86 : 620,641.86 = 110,156.10 : x
  2. Step 2: Convert to fraction form
    413,761.86/620,641.86 = 110,156.10/x
  3. Step 3: Cross multiply
    413,761.86x = 620,641.86 × 110,156.10
  4. Step 4: Simplify right side
    413,761.86x = 68,367,486,794.35
  5. Step 5: Solve for x
    x = 68,367,486,794.35/413,761.86
  6. Step 6: Final answer
    x = 165,233.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.