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Finding the Fourth Proportional to 204,841.80, 307,262.70 and 57,097.80

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Solution

The fourth proportional to 204,841.80, 307,262.70 and 57,097.80 is: 85,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,841.80 : 307,262.70 = 57,097.80 : x
  2. Step 2: Convert to fraction form
    204,841.80/307,262.70 = 57,097.80/x
  3. Step 3: Cross multiply
    204,841.80x = 307,262.70 × 57,097.80
  4. Step 4: Simplify right side
    204,841.80x = 17,544,024,192.06
  5. Step 5: Solve for x
    x = 17,544,024,192.06/204,841.80
  6. Step 6: Final answer
    x = 85,646.70

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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.