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Finding the Fourth Proportional to 204,855, 282,672.36 and 114,200.61

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Solution

The fourth proportional to 204,855, 282,672.36 and 114,200.61 is: 157,581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,855 : 282,672.36 = 114,200.61 : x
  2. Step 2: Convert to fraction form
    204,855/282,672.36 = 114,200.61/x
  3. Step 3: Cross multiply
    204,855x = 282,672.36 × 114,200.61
  4. Step 4: Simplify right side
    204,855x = 32,281,355,942.14
  5. Step 5: Solve for x
    x = 32,281,355,942.14/204,855
  6. Step 6: Final answer
    x = 157,581.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.