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Finding the Fourth Proportional to 175,617, 263,379.42 and 75,754.98

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Solution

The fourth proportional to 175,617, 263,379.42 and 75,754.98 is: 113,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,617 : 263,379.42 = 75,754.98 : x
  2. Step 2: Convert to fraction form
    175,617/263,379.42 = 75,754.98/x
  3. Step 3: Cross multiply
    175,617x = 263,379.42 × 75,754.98
  4. Step 4: Simplify right side
    175,617x = 19,952,302,694.51
  5. Step 5: Solve for x
    x = 19,952,302,694.51/175,617
  6. Step 6: Final answer
    x = 113,612.59

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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.