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Finding the Fourth Proportional to 131,021.98, 196,498.95 and 37,505.86

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Solution

The fourth proportional to 131,021.98, 196,498.95 and 37,505.86 is: 56,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,021.98 : 196,498.95 = 37,505.86 : x
  2. Step 2: Convert to fraction form
    131,021.98/196,498.95 = 37,505.86/x
  3. Step 3: Cross multiply
    131,021.98x = 196,498.95 × 37,505.86
  4. Step 4: Simplify right side
    131,021.98x = 7,369,862,108.85
  5. Step 5: Solve for x
    x = 7,369,862,108.85/131,021.98
  6. Step 6: Final answer
    x = 56,249.05

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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.