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Finding the Fourth Proportional to 217,644.82, 300,364.71 and 120,853.66

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Solution

The fourth proportional to 217,644.82, 300,364.71 and 120,853.66 is: 166,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,644.82 : 300,364.71 = 120,853.66 : x
  2. Step 2: Convert to fraction form
    217,644.82/300,364.71 = 120,853.66/x
  3. Step 3: Cross multiply
    217,644.82x = 300,364.71 × 120,853.66
  4. Step 4: Simplify right side
    217,644.82x = 36,300,174,538.34
  5. Step 5: Solve for x
    x = 36,300,174,538.34/217,644.82
  6. Step 6: Final answer
    x = 166,786.30

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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.