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Finding the Fourth Proportional to 176,293.50, 264,265.29 and 82,631.58

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Solution

The fourth proportional to 176,293.50, 264,265.29 and 82,631.58 is: 123,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,293.50 : 264,265.29 = 82,631.58 : x
  2. Step 2: Convert to fraction form
    176,293.50/264,265.29 = 82,631.58/x
  3. Step 3: Cross multiply
    176,293.50x = 264,265.29 × 82,631.58
  4. Step 4: Simplify right side
    176,293.50x = 21,836,658,451.86
  5. Step 5: Solve for x
    x = 21,836,658,451.86/176,293.50
  6. Step 6: Final answer
    x = 123,865.36

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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.