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Finding the Fourth Proportional to 176,824.42, 244,020.81 and 96,254.26

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Solution

The fourth proportional to 176,824.42, 244,020.81 and 96,254.26 is: 132,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,824.42 : 244,020.81 = 96,254.26 : x
  2. Step 2: Convert to fraction form
    176,824.42/244,020.81 = 96,254.26/x
  3. Step 3: Cross multiply
    176,824.42x = 244,020.81 × 96,254.26
  4. Step 4: Simplify right side
    176,824.42x = 23,488,042,491.15
  5. Step 5: Solve for x
    x = 23,488,042,491.15/176,824.42
  6. Step 6: Final answer
    x = 132,832.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.