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Finding the Fourth Proportional to 203,997.61, 306,048.32 and 119,828.95

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Solution

The fourth proportional to 203,997.61, 306,048.32 and 119,828.95 is: 179,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,997.61 : 306,048.32 = 119,828.95 : x
  2. Step 2: Convert to fraction form
    203,997.61/306,048.32 = 119,828.95/x
  3. Step 3: Cross multiply
    203,997.61x = 306,048.32 × 119,828.95
  4. Step 4: Simplify right side
    203,997.61x = 36,673,448,834.86
  5. Step 5: Solve for x
    x = 36,673,448,834.86/203,997.61
  6. Step 6: Final answer
    x = 179,773.91

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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.