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Finding the Fourth Proportional to 129,008.50, 193,524.98 and 50,128.82

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Solution

The fourth proportional to 129,008.50, 193,524.98 and 50,128.82 is: 75,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,008.50 : 193,524.98 = 50,128.82 : x
  2. Step 2: Convert to fraction form
    129,008.50/193,524.98 = 50,128.82/x
  3. Step 3: Cross multiply
    129,008.50x = 193,524.98 × 50,128.82
  4. Step 4: Simplify right side
    129,008.50x = 9,701,178,887.92
  5. Step 5: Solve for x
    x = 9,701,178,887.92/129,008.50
  6. Step 6: Final answer
    x = 75,197.98

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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.