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Finding the Fourth Proportional to 189,776.77, 261,892.02 and 104,893.87

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Solution

The fourth proportional to 189,776.77, 261,892.02 and 104,893.87 is: 144,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,776.77 : 261,892.02 = 104,893.87 : x
  2. Step 2: Convert to fraction form
    189,776.77/261,892.02 = 104,893.87/x
  3. Step 3: Cross multiply
    189,776.77x = 261,892.02 × 104,893.87
  4. Step 4: Simplify right side
    189,776.77x = 27,470,867,499.92
  5. Step 5: Solve for x
    x = 27,470,867,499.92/189,776.77
  6. Step 6: Final answer
    x = 144,753.58

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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.