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Finding the Fourth Proportional to 114,781.50, 172,144.89 and 48,222.90

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Solution

The fourth proportional to 114,781.50, 172,144.89 and 48,222.90 is: 72,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,781.50 : 172,144.89 = 48,222.90 : x
  2. Step 2: Convert to fraction form
    114,781.50/172,144.89 = 48,222.90/x
  3. Step 3: Cross multiply
    114,781.50x = 172,144.89 × 48,222.90
  4. Step 4: Simplify right side
    114,781.50x = 8,301,325,815.98
  5. Step 5: Solve for x
    x = 8,301,325,815.98/114,781.50
  6. Step 6: Final answer
    x = 72,322.86

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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.