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Finding the Fourth Proportional to 223,837.40, 335,717.70 and 83,523.80

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Solution

The fourth proportional to 223,837.40, 335,717.70 and 83,523.80 is: 125,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,837.40 : 335,717.70 = 83,523.80 : x
  2. Step 2: Convert to fraction form
    223,837.40/335,717.70 = 83,523.80/x
  3. Step 3: Cross multiply
    223,837.40x = 335,717.70 × 83,523.80
  4. Step 4: Simplify right side
    223,837.40x = 28,040,418,031.26
  5. Step 5: Solve for x
    x = 28,040,418,031.26/223,837.40
  6. Step 6: Final answer
    x = 125,271.37

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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.