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Finding the Fourth Proportional to 189,809.38, 261,923.75 and 104,919.76

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Solution

The fourth proportional to 189,809.38, 261,923.75 and 104,919.76 is: 144,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,809.38 : 261,923.75 = 104,919.76 : x
  2. Step 2: Convert to fraction form
    189,809.38/261,923.75 = 104,919.76/x
  3. Step 3: Cross multiply
    189,809.38x = 261,923.75 × 104,919.76
  4. Step 4: Simplify right side
    189,809.38x = 27,480,976,988.30
  5. Step 5: Solve for x
    x = 27,480,976,988.30/189,809.38
  6. Step 6: Final answer
    x = 144,781.98

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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.