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Finding the Fourth Proportional to 189,463.92, 261,462.34 and 104,580.96

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Solution

The fourth proportional to 189,463.92, 261,462.34 and 104,580.96 is: 144,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,463.92 : 261,462.34 = 104,580.96 : x
  2. Step 2: Convert to fraction form
    189,463.92/261,462.34 = 104,580.96/x
  3. Step 3: Cross multiply
    189,463.92x = 261,462.34 × 104,580.96
  4. Step 4: Simplify right side
    189,463.92x = 27,343,982,521.05
  5. Step 5: Solve for x
    x = 27,343,982,521.05/189,463.92
  6. Step 6: Final answer
    x = 144,322.90

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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.