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Finding the Fourth Proportional to 293,676.66, 405,083.88 and 201,752.10

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Solution

The fourth proportional to 293,676.66, 405,083.88 and 201,752.10 is: 278,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,676.66 : 405,083.88 = 201,752.10 : x
  2. Step 2: Convert to fraction form
    293,676.66/405,083.88 = 201,752.10/x
  3. Step 3: Cross multiply
    293,676.66x = 405,083.88 × 201,752.10
  4. Step 4: Simplify right side
    293,676.66x = 81,726,523,466.15
  5. Step 5: Solve for x
    x = 81,726,523,466.15/293,676.66
  6. Step 6: Final answer
    x = 278,287.43

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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.