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Finding the Fourth Proportional to 117,509.78, 176,227.23 and 38,605.70

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Solution

The fourth proportional to 117,509.78, 176,227.23 and 38,605.70 is: 57,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,509.78 : 176,227.23 = 38,605.70 : x
  2. Step 2: Convert to fraction form
    117,509.78/176,227.23 = 38,605.70/x
  3. Step 3: Cross multiply
    117,509.78x = 176,227.23 × 38,605.70
  4. Step 4: Simplify right side
    117,509.78x = 6,803,375,573.21
  5. Step 5: Solve for x
    x = 6,803,375,573.21/117,509.78
  6. Step 6: Final answer
    x = 57,896.25

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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.