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Finding the Fourth Proportional to 204,894.47, 282,757.86 and 113,024.30

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Solution

The fourth proportional to 204,894.47, 282,757.86 and 113,024.30 is: 155,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,894.47 : 282,757.86 = 113,024.30 : x
  2. Step 2: Convert to fraction form
    204,894.47/282,757.86 = 113,024.30/x
  3. Step 3: Cross multiply
    204,894.47x = 282,757.86 × 113,024.30
  4. Step 4: Simplify right side
    204,894.47x = 31,958,509,196.00
  5. Step 5: Solve for x
    x = 31,958,509,196.00/204,894.47
  6. Step 6: Final answer
    x = 155,975.46

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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.