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Finding the Fourth Proportional to 213,446.99, 320,387.13 and 106,907.28

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Solution

The fourth proportional to 213,446.99, 320,387.13 and 106,907.28 is: 160,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,446.99 : 320,387.13 = 106,907.28 : x
  2. Step 2: Convert to fraction form
    213,446.99/320,387.13 = 106,907.28/x
  3. Step 3: Cross multiply
    213,446.99x = 320,387.13 × 106,907.28
  4. Step 4: Simplify right side
    213,446.99x = 34,251,717,416.27
  5. Step 5: Solve for x
    x = 34,251,717,416.27/213,446.99
  6. Step 6: Final answer
    x = 160,469.43

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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.