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Finding the Fourth Proportional to 161,863.70, 242,865.60 and 86,896.38

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Solution

The fourth proportional to 161,863.70, 242,865.60 and 86,896.38 is: 130,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,863.70 : 242,865.60 = 86,896.38 : x
  2. Step 2: Convert to fraction form
    161,863.70/242,865.60 = 86,896.38/x
  3. Step 3: Cross multiply
    161,863.70x = 242,865.60 × 86,896.38
  4. Step 4: Simplify right side
    161,863.70x = 21,104,141,466.53
  5. Step 5: Solve for x
    x = 21,104,141,466.53/161,863.70
  6. Step 6: Final answer
    x = 130,382.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.