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Finding the Fourth Proportional to 161,569.20, 242,364.60 and 54,951.60

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Solution

The fourth proportional to 161,569.20, 242,364.60 and 54,951.60 is: 82,431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,569.20 : 242,364.60 = 54,951.60 : x
  2. Step 2: Convert to fraction form
    161,569.20/242,364.60 = 54,951.60/x
  3. Step 3: Cross multiply
    161,569.20x = 242,364.60 × 54,951.60
  4. Step 4: Simplify right side
    161,569.20x = 13,318,322,553.36
  5. Step 5: Solve for x
    x = 13,318,322,553.36/161,569.20
  6. Step 6: Final answer
    x = 82,431.07

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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.