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Finding the Fourth Proportional to 165,264.96, 228,067.20 and 98,184

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Solution

The fourth proportional to 165,264.96, 228,067.20 and 98,184 is: 135,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,264.96 : 228,067.20 = 98,184 : x
  2. Step 2: Convert to fraction form
    165,264.96/228,067.20 = 98,184/x
  3. Step 3: Cross multiply
    165,264.96x = 228,067.20 × 98,184
  4. Step 4: Simplify right side
    165,264.96x = 22,392,549,964.80
  5. Step 5: Solve for x
    x = 22,392,549,964.80/165,264.96
  6. Step 6: Final answer
    x = 135,494.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.