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Finding the Fourth Proportional to 205,044.76, 283,078.02 and 133,388.92

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Solution

The fourth proportional to 205,044.76, 283,078.02 and 133,388.92 is: 184,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,044.76 : 283,078.02 = 133,388.92 : x
  2. Step 2: Convert to fraction form
    205,044.76/283,078.02 = 133,388.92/x
  3. Step 3: Cross multiply
    205,044.76x = 283,078.02 × 133,388.92
  4. Step 4: Simplify right side
    205,044.76x = 37,759,471,363.54
  5. Step 5: Solve for x
    x = 37,759,471,363.54/205,044.76
  6. Step 6: Final answer
    x = 184,152.34

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1.5x scale

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.