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Finding the Fourth Proportional to 165,863, 228,891 and 94,243.10

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Solution

The fourth proportional to 165,863, 228,891 and 94,243.10 is: 130,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,863 : 228,891 = 94,243.10 : x
  2. Step 2: Convert to fraction form
    165,863/228,891 = 94,243.10/x
  3. Step 3: Cross multiply
    165,863x = 228,891 × 94,243.10
  4. Step 4: Simplify right side
    165,863x = 21,571,397,402.10
  5. Step 5: Solve for x
    x = 21,571,397,402.10/165,863
  6. Step 6: Final answer
    x = 130,055.51

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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.