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Finding the Fourth Proportional to 293,088.88, 404,538.68 and 165,838.29

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Solution

The fourth proportional to 293,088.88, 404,538.68 and 165,838.29 is: 228,899.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,088.88 : 404,538.68 = 165,838.29 : x
  2. Step 2: Convert to fraction form
    293,088.88/404,538.68 = 165,838.29/x
  3. Step 3: Cross multiply
    293,088.88x = 404,538.68 × 165,838.29
  4. Step 4: Simplify right side
    293,088.88x = 67,088,002,930.06
  5. Step 5: Solve for x
    x = 67,088,002,930.06/293,088.88
  6. Step 6: Final answer
    x = 228,899.86

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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.