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Finding the Fourth Proportional to 289,194.30, 399,083.76 and 161,874.45

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Solution

The fourth proportional to 289,194.30, 399,083.76 and 161,874.45 is: 223,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,194.30 : 399,083.76 = 161,874.45 : x
  2. Step 2: Convert to fraction form
    289,194.30/399,083.76 = 161,874.45/x
  3. Step 3: Cross multiply
    289,194.30x = 399,083.76 × 161,874.45
  4. Step 4: Simplify right side
    289,194.30x = 64,601,464,153.93
  5. Step 5: Solve for x
    x = 64,601,464,153.93/289,194.30
  6. Step 6: Final answer
    x = 223,384.29

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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.