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Finding the Fourth Proportional to 293,682, 405,281.52 and 159,546

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Solution

The fourth proportional to 293,682, 405,281.52 and 159,546 is: 220,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,682 : 405,281.52 = 159,546 : x
  2. Step 2: Convert to fraction form
    293,682/405,281.52 = 159,546/x
  3. Step 3: Cross multiply
    293,682x = 405,281.52 × 159,546
  4. Step 4: Simplify right side
    293,682x = 64,661,045,389.92
  5. Step 5: Solve for x
    x = 64,661,045,389.92/293,682
  6. Step 6: Final answer
    x = 220,173.68

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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.