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Finding the Fourth Proportional to 189,586.71, 261,631.22 and 104,705.19

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Solution

The fourth proportional to 189,586.71, 261,631.22 and 104,705.19 is: 144,494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,586.71 : 261,631.22 = 104,705.19 : x
  2. Step 2: Convert to fraction form
    189,586.71/261,631.22 = 104,705.19/x
  3. Step 3: Cross multiply
    189,586.71x = 261,631.22 × 104,705.19
  4. Step 4: Simplify right side
    189,586.71x = 27,394,146,076.51
  5. Step 5: Solve for x
    x = 27,394,146,076.51/189,586.71
  6. Step 6: Final answer
    x = 144,494.02

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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.