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Finding the Fourth Proportional to 176,062.20, 263,801.70 and 149,818.20

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Solution

The fourth proportional to 176,062.20, 263,801.70 and 149,818.20 is: 224,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,062.20 : 263,801.70 = 149,818.20 : x
  2. Step 2: Convert to fraction form
    176,062.20/263,801.70 = 149,818.20/x
  3. Step 3: Cross multiply
    176,062.20x = 263,801.70 × 149,818.20
  4. Step 4: Simplify right side
    176,062.20x = 39,522,295,850.94
  5. Step 5: Solve for x
    x = 39,522,295,850.94/176,062.20
  6. Step 6: Final answer
    x = 224,479.17

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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.