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Finding the Fourth Proportional to 223,876.74, 335,814.74 and 153,542.82

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Solution

The fourth proportional to 223,876.74, 335,814.74 and 153,542.82 is: 230,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,876.74 : 335,814.74 = 153,542.82 : x
  2. Step 2: Convert to fraction form
    223,876.74/335,814.74 = 153,542.82/x
  3. Step 3: Cross multiply
    223,876.74x = 335,814.74 × 153,542.82
  4. Step 4: Simplify right side
    223,876.74x = 51,561,942,177.17
  5. Step 5: Solve for x
    x = 51,561,942,177.17/223,876.74
  6. Step 6: Final answer
    x = 230,313.98

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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.