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Finding the Fourth Proportional to 117,550.26, 176,280.26 and 57,541.71

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Solution

The fourth proportional to 117,550.26, 176,280.26 and 57,541.71 is: 86,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,550.26 : 176,280.26 = 57,541.71 : x
  2. Step 2: Convert to fraction form
    117,550.26/176,280.26 = 57,541.71/x
  3. Step 3: Cross multiply
    117,550.26x = 176,280.26 × 57,541.71
  4. Step 4: Simplify right side
    117,550.26x = 10,143,467,311.94
  5. Step 5: Solve for x
    x = 10,143,467,311.94/117,550.26
  6. Step 6: Final answer
    x = 86,290.47

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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.