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Finding the Fourth Proportional to 275,570.42, 413,357.85 and 75,901.82

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Solution

The fourth proportional to 275,570.42, 413,357.85 and 75,901.82 is: 113,853.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,570.42 : 413,357.85 = 75,901.82 : x
  2. Step 2: Convert to fraction form
    275,570.42/413,357.85 = 75,901.82/x
  3. Step 3: Cross multiply
    275,570.42x = 413,357.85 × 75,901.82
  4. Step 4: Simplify right side
    275,570.42x = 31,374,613,126.29
  5. Step 5: Solve for x
    x = 31,374,613,126.29/275,570.42
  6. Step 6: Final answer
    x = 113,853.34

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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.