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Finding the Fourth Proportional to 114,794.26, 172,258.11 and 48,229.30

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Solution

The fourth proportional to 114,794.26, 172,258.11 and 48,229.30 is: 72,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,794.26 : 172,258.11 = 48,229.30 : x
  2. Step 2: Convert to fraction form
    114,794.26/172,258.11 = 48,229.30/x
  3. Step 3: Cross multiply
    114,794.26x = 172,258.11 × 48,229.30
  4. Step 4: Simplify right side
    114,794.26x = 8,307,888,064.62
  5. Step 5: Solve for x
    x = 8,307,888,064.62/114,794.26
  6. Step 6: Final answer
    x = 72,371.98

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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.