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Finding the Fourth Proportional to 204,893.60, 282,756.65 and 113,023.43

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Solution

The fourth proportional to 204,893.60, 282,756.65 and 113,023.43 is: 155,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,893.60 : 282,756.65 = 113,023.43 : x
  2. Step 2: Convert to fraction form
    204,893.60/282,756.65 = 113,023.43/x
  3. Step 3: Cross multiply
    204,893.60x = 282,756.65 × 113,023.43
  4. Step 4: Simplify right side
    204,893.60x = 31,958,125,307.08
  5. Step 5: Solve for x
    x = 31,958,125,307.08/204,893.60
  6. Step 6: Final answer
    x = 155,974.25

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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.