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Finding the Fourth Proportional to 165,998.22, 229,078.74 and 94,374

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Solution

The fourth proportional to 165,998.22, 229,078.74 and 94,374 is: 130,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,998.22 : 229,078.74 = 94,374 : x
  2. Step 2: Convert to fraction form
    165,998.22/229,078.74 = 94,374/x
  3. Step 3: Cross multiply
    165,998.22x = 229,078.74 × 94,374
  4. Step 4: Simplify right side
    165,998.22x = 21,619,077,008.76
  5. Step 5: Solve for x
    x = 21,619,077,008.76/165,998.22
  6. Step 6: Final answer
    x = 130,236.80

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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.