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Finding the Fourth Proportional to 205,802.97, 308,704.46 and 135,665.88

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Solution

The fourth proportional to 205,802.97, 308,704.46 and 135,665.88 is: 203,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,802.97 : 308,704.46 = 135,665.88 : x
  2. Step 2: Convert to fraction form
    205,802.97/308,704.46 = 135,665.88/x
  3. Step 3: Cross multiply
    205,802.97x = 308,704.46 × 135,665.88
  4. Step 4: Simplify right side
    205,802.97x = 41,880,661,547.50
  5. Step 5: Solve for x
    x = 41,880,661,547.50/205,802.97
  6. Step 6: Final answer
    x = 203,498.82

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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.