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Finding the Fourth Proportional to 206,804.47, 285,383.94 and 114,923.45

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Solution

The fourth proportional to 206,804.47, 285,383.94 and 114,923.45 is: 158,590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,804.47 : 285,383.94 = 114,923.45 : x
  2. Step 2: Convert to fraction form
    206,804.47/285,383.94 = 114,923.45/x
  3. Step 3: Cross multiply
    206,804.47x = 285,383.94 × 114,923.45
  4. Step 4: Simplify right side
    206,804.47x = 32,797,305,532.47
  5. Step 5: Solve for x
    x = 32,797,305,532.47/206,804.47
  6. Step 6: Final answer
    x = 158,590.89

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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.