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Finding the Fourth Proportional to 289,177.92, 399,061.62 and 161,853.48

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Solution

The fourth proportional to 289,177.92, 399,061.62 and 161,853.48 is: 223,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,177.92 : 399,061.62 = 161,853.48 : x
  2. Step 2: Convert to fraction form
    289,177.92/399,061.62 = 161,853.48/x
  3. Step 3: Cross multiply
    289,177.92x = 399,061.62 × 161,853.48
  4. Step 4: Simplify right side
    289,177.92x = 64,589,511,931.44
  5. Step 5: Solve for x
    x = 64,589,511,931.44/289,177.92
  6. Step 6: Final answer
    x = 223,355.61

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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.