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Finding the Fourth Proportional to 189,713.01, 261,809.24 and 104,835.54

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Solution

The fourth proportional to 189,713.01, 261,809.24 and 104,835.54 is: 144,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,713.01 : 261,809.24 = 104,835.54 : x
  2. Step 2: Convert to fraction form
    189,713.01/261,809.24 = 104,835.54/x
  3. Step 3: Cross multiply
    189,713.01x = 261,809.24 × 104,835.54
  4. Step 4: Simplify right side
    189,713.01x = 27,446,912,528.21
  5. Step 5: Solve for x
    x = 27,446,912,528.21/189,713.01
  6. Step 6: Final answer
    x = 144,675.96

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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.