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Finding the Fourth Proportional to 275,570.34, 413,355.53 and 86,046.94

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Solution

The fourth proportional to 275,570.34, 413,355.53 and 86,046.94 is: 129,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,570.34 : 413,355.53 = 86,046.94 : x
  2. Step 2: Convert to fraction form
    275,570.34/413,355.53 = 86,046.94/x
  3. Step 3: Cross multiply
    275,570.34x = 413,355.53 × 86,046.94
  4. Step 4: Simplify right side
    275,570.34x = 35,567,979,220.39
  5. Step 5: Solve for x
    x = 35,567,979,220.39/275,570.34
  6. Step 6: Final answer
    x = 129,070.42

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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.