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Finding the Fourth Proportional to 165,251.68, 228,047.34 and 89,800

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Solution

The fourth proportional to 165,251.68, 228,047.34 and 89,800 is: 123,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,251.68 : 228,047.34 = 89,800 : x
  2. Step 2: Convert to fraction form
    165,251.68/228,047.34 = 89,800/x
  3. Step 3: Cross multiply
    165,251.68x = 228,047.34 × 89,800
  4. Step 4: Simplify right side
    165,251.68x = 20,478,651,132
  5. Step 5: Solve for x
    x = 20,478,651,132/165,251.68
  6. Step 6: Final answer
    x = 123,924.01

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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.