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Finding the Fourth Proportional to 177,764.38, 245,254.74 and 101,229.21

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Solution

The fourth proportional to 177,764.38, 245,254.74 and 101,229.21 is: 139,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,764.38 : 245,254.74 = 101,229.21 : x
  2. Step 2: Convert to fraction form
    177,764.38/245,254.74 = 101,229.21/x
  3. Step 3: Cross multiply
    177,764.38x = 245,254.74 × 101,229.21
  4. Step 4: Simplify right side
    177,764.38x = 24,826,943,578.96
  5. Step 5: Solve for x
    x = 24,826,943,578.96/177,764.38
  6. Step 6: Final answer
    x = 139,662.09

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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.