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Finding the Fourth Proportional to 180,284.77, 270,471.42 and 61,957.81

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Solution

The fourth proportional to 180,284.77, 270,471.42 and 61,957.81 is: 92,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,284.77 : 270,471.42 = 61,957.81 : x
  2. Step 2: Convert to fraction form
    180,284.77/270,471.42 = 61,957.81/x
  3. Step 3: Cross multiply
    180,284.77x = 270,471.42 × 61,957.81
  4. Step 4: Simplify right side
    180,284.77x = 16,757,816,850.79
  5. Step 5: Solve for x
    x = 16,757,816,850.79/180,284.77
  6. Step 6: Final answer
    x = 92,951.93

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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.