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Finding the Fourth Proportional to 205,382.94, 307,819.98 and 116,366.64

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Solution

The fourth proportional to 205,382.94, 307,819.98 and 116,366.64 is: 174,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,382.94 : 307,819.98 = 116,366.64 : x
  2. Step 2: Convert to fraction form
    205,382.94/307,819.98 = 116,366.64/x
  3. Step 3: Cross multiply
    205,382.94x = 307,819.98 × 116,366.64
  4. Step 4: Simplify right side
    205,382.94x = 35,819,976,797.47
  5. Step 5: Solve for x
    x = 35,819,976,797.47/205,382.94
  6. Step 6: Final answer
    x = 174,405.80

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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.