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Finding the Fourth Proportional to 203,463.35, 280,793.49 and 112,827.68

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Solution

The fourth proportional to 203,463.35, 280,793.49 and 112,827.68 is: 155,710.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,463.35 : 280,793.49 = 112,827.68 : x
  2. Step 2: Convert to fraction form
    203,463.35/280,793.49 = 112,827.68/x
  3. Step 3: Cross multiply
    203,463.35x = 280,793.49 × 112,827.68
  4. Step 4: Simplify right side
    203,463.35x = 31,681,278,035.80
  5. Step 5: Solve for x
    x = 31,681,278,035.80/203,463.35
  6. Step 6: Final answer
    x = 155,710.00

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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.