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Finding the Fourth Proportional to 204,000.61, 306,052.83 and 119,831.95

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Solution

The fourth proportional to 204,000.61, 306,052.83 and 119,831.95 is: 179,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,000.61 : 306,052.83 = 119,831.95 : x
  2. Step 2: Convert to fraction form
    204,000.61/306,052.83 = 119,831.95/x
  3. Step 3: Cross multiply
    204,000.61x = 306,052.83 × 119,831.95
  4. Step 4: Simplify right side
    204,000.61x = 36,674,907,421.92
  5. Step 5: Solve for x
    x = 36,674,907,421.92/204,000.61
  6. Step 6: Final answer
    x = 179,778.42

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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.