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Finding the Fourth Proportional to 226,514.54, 312,571.47 and 133,365.47

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Solution

The fourth proportional to 226,514.54, 312,571.47 and 133,365.47 is: 184,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,514.54 : 312,571.47 = 133,365.47 : x
  2. Step 2: Convert to fraction form
    226,514.54/312,571.47 = 133,365.47/x
  3. Step 3: Cross multiply
    226,514.54x = 312,571.47 × 133,365.47
  4. Step 4: Simplify right side
    226,514.54x = 41,686,241,786.57
  5. Step 5: Solve for x
    x = 41,686,241,786.57/226,514.54
  6. Step 6: Final answer
    x = 184,033.40

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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.