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Finding the Fourth Proportional to 176,648.40, 264,972.60 and 137,233.80

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Solution

The fourth proportional to 176,648.40, 264,972.60 and 137,233.80 is: 205,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,648.40 : 264,972.60 = 137,233.80 : x
  2. Step 2: Convert to fraction form
    176,648.40/264,972.60 = 137,233.80/x
  3. Step 3: Cross multiply
    176,648.40x = 264,972.60 × 137,233.80
  4. Step 4: Simplify right side
    176,648.40x = 36,363,196,793.88
  5. Step 5: Solve for x
    x = 36,363,196,793.88/176,648.40
  6. Step 6: Final answer
    x = 205,850.70

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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.