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Finding the Fourth Proportional to 205,294.87, 283,292.81 and 113,410.09

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Solution

The fourth proportional to 205,294.87, 283,292.81 and 113,410.09 is: 156,498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,294.87 : 283,292.81 = 113,410.09 : x
  2. Step 2: Convert to fraction form
    205,294.87/283,292.81 = 113,410.09/x
  3. Step 3: Cross multiply
    205,294.87x = 283,292.81 × 113,410.09
  4. Step 4: Simplify right side
    205,294.87x = 32,128,263,078.45
  5. Step 5: Solve for x
    x = 32,128,263,078.45/205,294.87
  6. Step 6: Final answer
    x = 156,498.13

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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.