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Finding the Fourth Proportional to 111,626.76, 167,442.30 and 44,157

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Solution

The fourth proportional to 111,626.76, 167,442.30 and 44,157 is: 66,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,626.76 : 167,442.30 = 44,157 : x
  2. Step 2: Convert to fraction form
    111,626.76/167,442.30 = 44,157/x
  3. Step 3: Cross multiply
    111,626.76x = 167,442.30 × 44,157
  4. Step 4: Simplify right side
    111,626.76x = 7,393,749,641.10
  5. Step 5: Solve for x
    x = 7,393,749,641.10/111,626.76
  6. Step 6: Final answer
    x = 66,236.35

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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.