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Finding the Fourth Proportional to 223,704.26, 308,908.77 and 152,254.97

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Solution

The fourth proportional to 223,704.26, 308,908.77 and 152,254.97 is: 210,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,704.26 : 308,908.77 = 152,254.97 : x
  2. Step 2: Convert to fraction form
    223,704.26/308,908.77 = 152,254.97/x
  3. Step 3: Cross multiply
    223,704.26x = 308,908.77 × 152,254.97
  4. Step 4: Simplify right side
    223,704.26x = 47,032,895,509.09
  5. Step 5: Solve for x
    x = 47,032,895,509.09/223,704.26
  6. Step 6: Final answer
    x = 210,245.86

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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.