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Finding the Fourth Proportional to 189,828.45, 261,952.92 and 104,940

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Solution

The fourth proportional to 189,828.45, 261,952.92 and 104,940 is: 144,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,828.45 : 261,952.92 = 104,940 : x
  2. Step 2: Convert to fraction form
    189,828.45/261,952.92 = 104,940/x
  3. Step 3: Cross multiply
    189,828.45x = 261,952.92 × 104,940
  4. Step 4: Simplify right side
    189,828.45x = 27,489,339,424.80
  5. Step 5: Solve for x
    x = 27,489,339,424.80/189,828.45
  6. Step 6: Final answer
    x = 144,811.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.