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Finding the Fourth Proportional to 111,377.12, 167,024.52 and 48,206.48

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Solution

The fourth proportional to 111,377.12, 167,024.52 and 48,206.48 is: 72,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,377.12 : 167,024.52 = 48,206.48 : x
  2. Step 2: Convert to fraction form
    111,377.12/167,024.52 = 48,206.48/x
  3. Step 3: Cross multiply
    111,377.12x = 167,024.52 × 48,206.48
  4. Step 4: Simplify right side
    111,377.12x = 8,051,664,182.89
  5. Step 5: Solve for x
    x = 8,051,664,182.89/111,377.12
  6. Step 6: Final answer
    x = 72,291.91

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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.