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Finding the Fourth Proportional to 117,583.52, 176,190.96 and 99,980.96

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Solution

The fourth proportional to 117,583.52, 176,190.96 and 99,980.96 is: 149,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,583.52 : 176,190.96 = 99,980.96 : x
  2. Step 2: Convert to fraction form
    117,583.52/176,190.96 = 99,980.96/x
  3. Step 3: Cross multiply
    117,583.52x = 176,190.96 × 99,980.96
  4. Step 4: Simplify right side
    117,583.52x = 17,615,741,324.12
  5. Step 5: Solve for x
    x = 17,615,741,324.12/117,583.52
  6. Step 6: Final answer
    x = 149,814.71

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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.