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Finding the Fourth Proportional to 331,873.86, 497,813.68 and 107,234.34

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Solution

The fourth proportional to 331,873.86, 497,813.68 and 107,234.34 is: 160,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,873.86 : 497,813.68 = 107,234.34 : x
  2. Step 2: Convert to fraction form
    331,873.86/497,813.68 = 107,234.34/x
  3. Step 3: Cross multiply
    331,873.86x = 497,813.68 × 107,234.34
  4. Step 4: Simplify right side
    331,873.86x = 53,382,721,417.77
  5. Step 5: Solve for x
    x = 53,382,721,417.77/331,873.86
  6. Step 6: Final answer
    x = 160,852.44

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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.