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Finding the Fourth Proportional to 189,700.92, 261,786.74 and 104,817.38

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Solution

The fourth proportional to 189,700.92, 261,786.74 and 104,817.38 is: 144,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,700.92 : 261,786.74 = 104,817.38 : x
  2. Step 2: Convert to fraction form
    189,700.92/261,786.74 = 104,817.38/x
  3. Step 3: Cross multiply
    189,700.92x = 261,786.74 × 104,817.38
  4. Step 4: Simplify right side
    189,700.92x = 27,439,798,372.52
  5. Step 5: Solve for x
    x = 27,439,798,372.52/189,700.92
  6. Step 6: Final answer
    x = 144,647.68

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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.