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Finding the Fourth Proportional to 203,321.06, 280,584.68 and 112,678.50

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Solution

The fourth proportional to 203,321.06, 280,584.68 and 112,678.50 is: 155,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,321.06 : 280,584.68 = 112,678.50 : x
  2. Step 2: Convert to fraction form
    203,321.06/280,584.68 = 112,678.50/x
  3. Step 3: Cross multiply
    203,321.06x = 280,584.68 × 112,678.50
  4. Step 4: Simplify right side
    203,321.06x = 31,615,860,865.38
  5. Step 5: Solve for x
    x = 31,615,860,865.38/203,321.06
  6. Step 6: Final answer
    x = 155,497.23

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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.