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Finding the Fourth Proportional to 185,285.80, 277,863.90 and 96,509.80

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Solution

The fourth proportional to 185,285.80, 277,863.90 and 96,509.80 is: 144,730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,285.80 : 277,863.90 = 96,509.80 : x
  2. Step 2: Convert to fraction form
    185,285.80/277,863.90 = 96,509.80/x
  3. Step 3: Cross multiply
    185,285.80x = 277,863.90 × 96,509.80
  4. Step 4: Simplify right side
    185,285.80x = 26,816,589,416.22
  5. Step 5: Solve for x
    x = 26,816,589,416.22/185,285.80
  6. Step 6: Final answer
    x = 144,730.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.