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Finding the Fourth Proportional to 189,382.47, 261,694.26 and 180,156.97

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Solution

The fourth proportional to 189,382.47, 261,694.26 and 180,156.97 is: 248,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,382.47 : 261,694.26 = 180,156.97 : x
  2. Step 2: Convert to fraction form
    189,382.47/261,694.26 = 180,156.97/x
  3. Step 3: Cross multiply
    189,382.47x = 261,694.26 × 180,156.97
  4. Step 4: Simplify right side
    189,382.47x = 47,146,044,947.99
  5. Step 5: Solve for x
    x = 47,146,044,947.99/189,382.47
  6. Step 6: Final answer
    x = 248,946.19

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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.