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Finding the Fourth Proportional to 293,089.88, 404,540.06 and 165,839.28

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Solution

The fourth proportional to 293,089.88, 404,540.06 and 165,839.28 is: 228,901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,089.88 : 404,540.06 = 165,839.28 : x
  2. Step 2: Convert to fraction form
    293,089.88/404,540.06 = 165,839.28/x
  3. Step 3: Cross multiply
    293,089.88x = 404,540.06 × 165,839.28
  4. Step 4: Simplify right side
    293,089.88x = 67,088,632,281.56
  5. Step 5: Solve for x
    x = 67,088,632,281.56/293,089.88
  6. Step 6: Final answer
    x = 228,901.22

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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.