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Finding the Fourth Proportional to 213,843.51, 320,758.11 and 101,604.24

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Solution

The fourth proportional to 213,843.51, 320,758.11 and 101,604.24 is: 152,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,843.51 : 320,758.11 = 101,604.24 : x
  2. Step 2: Convert to fraction form
    213,843.51/320,758.11 = 101,604.24/x
  3. Step 3: Cross multiply
    213,843.51x = 320,758.11 × 101,604.24
  4. Step 4: Simplify right side
    213,843.51x = 32,590,383,990.39
  5. Step 5: Solve for x
    x = 32,590,383,990.39/213,843.51
  6. Step 6: Final answer
    x = 152,402.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.