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Finding the Fourth Proportional to 189,356.74, 261,300.42 and 104,474.38

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Solution

The fourth proportional to 189,356.74, 261,300.42 and 104,474.38 is: 144,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,356.74 : 261,300.42 = 104,474.38 : x
  2. Step 2: Convert to fraction form
    189,356.74/261,300.42 = 104,474.38/x
  3. Step 3: Cross multiply
    189,356.74x = 261,300.42 × 104,474.38
  4. Step 4: Simplify right side
    189,356.74x = 27,299,199,373.24
  5. Step 5: Solve for x
    x = 27,299,199,373.24/189,356.74
  6. Step 6: Final answer
    x = 144,168.09

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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.