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Finding the Fourth Proportional to 189,700.75, 261,783.87 and 103,657.85

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Solution

The fourth proportional to 189,700.75, 261,783.87 and 103,657.85 is: 143,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,700.75 : 261,783.87 = 103,657.85 : x
  2. Step 2: Convert to fraction form
    189,700.75/261,783.87 = 103,657.85/x
  3. Step 3: Cross multiply
    189,700.75x = 261,783.87 × 103,657.85
  4. Step 4: Simplify right side
    189,700.75x = 27,135,952,208.68
  5. Step 5: Solve for x
    x = 27,135,952,208.68/189,700.75
  6. Step 6: Final answer
    x = 143,046.10

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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.