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Finding the Fourth Proportional to 117,195.90, 176,292.72 and 106,234.77

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Solution

The fourth proportional to 117,195.90, 176,292.72 and 106,234.77 is: 159,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,195.90 : 176,292.72 = 106,234.77 : x
  2. Step 2: Convert to fraction form
    117,195.90/176,292.72 = 106,234.77/x
  3. Step 3: Cross multiply
    117,195.90x = 176,292.72 × 106,234.77
  4. Step 4: Simplify right side
    117,195.90x = 18,728,416,561.87
  5. Step 5: Solve for x
    x = 18,728,416,561.87/117,195.90
  6. Step 6: Final answer
    x = 159,804.37

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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.