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Finding the Fourth Proportional to 203,497.24, 280,816.32 and 112,856.80

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Solution

The fourth proportional to 203,497.24, 280,816.32 and 112,856.80 is: 155,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,497.24 : 280,816.32 = 112,856.80 : x
  2. Step 2: Convert to fraction form
    203,497.24/280,816.32 = 112,856.80/x
  3. Step 3: Cross multiply
    203,497.24x = 280,816.32 × 112,856.80
  4. Step 4: Simplify right side
    203,497.24x = 31,692,031,262.98
  5. Step 5: Solve for x
    x = 31,692,031,262.98/203,497.24
  6. Step 6: Final answer
    x = 155,736.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.