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Finding the Fourth Proportional to 221,864.86, 305,528.52 and 192,781

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Solution

The fourth proportional to 221,864.86, 305,528.52 and 192,781 is: 265,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,864.86 : 305,528.52 = 192,781 : x
  2. Step 2: Convert to fraction form
    221,864.86/305,528.52 = 192,781/x
  3. Step 3: Cross multiply
    221,864.86x = 305,528.52 × 192,781
  4. Step 4: Simplify right side
    221,864.86x = 58,900,093,614.12
  5. Step 5: Solve for x
    x = 58,900,093,614.12/221,864.86
  6. Step 6: Final answer
    x = 265,477.34

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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.