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Finding the Fourth Proportional to 189,732.41, 261,820.41 and 104,844

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Solution

The fourth proportional to 189,732.41, 261,820.41 and 104,844 is: 144,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,732.41 : 261,820.41 = 104,844 : x
  2. Step 2: Convert to fraction form
    189,732.41/261,820.41 = 104,844/x
  3. Step 3: Cross multiply
    189,732.41x = 261,820.41 × 104,844
  4. Step 4: Simplify right side
    189,732.41x = 27,450,299,066.04
  5. Step 5: Solve for x
    x = 27,450,299,066.04/189,732.41
  6. Step 6: Final answer
    x = 144,679.02

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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.