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Finding the Fourth Proportional to 137,234.70, 205,852.05 and 92,882.70

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Solution

The fourth proportional to 137,234.70, 205,852.05 and 92,882.70 is: 139,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,234.70 : 205,852.05 = 92,882.70 : x
  2. Step 2: Convert to fraction form
    137,234.70/205,852.05 = 92,882.70/x
  3. Step 3: Cross multiply
    137,234.70x = 205,852.05 × 92,882.70
  4. Step 4: Simplify right side
    137,234.70x = 19,120,094,204.54
  5. Step 5: Solve for x
    x = 19,120,094,204.54/137,234.70
  6. Step 6: Final answer
    x = 139,324.05

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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.