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Finding the Fourth Proportional to 293,782.16, 440,673.24 and 72,166.16

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Solution

The fourth proportional to 293,782.16, 440,673.24 and 72,166.16 is: 108,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,782.16 : 440,673.24 = 72,166.16 : x
  2. Step 2: Convert to fraction form
    293,782.16/440,673.24 = 72,166.16/x
  3. Step 3: Cross multiply
    293,782.16x = 440,673.24 × 72,166.16
  4. Step 4: Simplify right side
    293,782.16x = 31,801,695,545.56
  5. Step 5: Solve for x
    x = 31,801,695,545.56/293,782.16
  6. Step 6: Final answer
    x = 108,249.24

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