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Finding the Fourth Proportional to 189,731.52, 261,832.80 and 104,849.28

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Solution

The fourth proportional to 189,731.52, 261,832.80 and 104,849.28 is: 144,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,731.52 : 261,832.80 = 104,849.28 : x
  2. Step 2: Convert to fraction form
    189,731.52/261,832.80 = 104,849.28/x
  3. Step 3: Cross multiply
    189,731.52x = 261,832.80 × 104,849.28
  4. Step 4: Simplify right side
    189,731.52x = 27,452,980,560.38
  5. Step 5: Solve for x
    x = 27,452,980,560.38/189,731.52
  6. Step 6: Final answer
    x = 144,693.83

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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.