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Finding the Fourth Proportional to 165,851, 228,874.54 and 90,399.80

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Solution

The fourth proportional to 165,851, 228,874.54 and 90,399.80 is: 124,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,851 : 228,874.54 = 90,399.80 : x
  2. Step 2: Convert to fraction form
    165,851/228,874.54 = 90,399.80/x
  3. Step 3: Cross multiply
    165,851x = 228,874.54 × 90,399.80
  4. Step 4: Simplify right side
    165,851x = 20,690,212,641.09
  5. Step 5: Solve for x
    x = 20,690,212,641.09/165,851
  6. Step 6: Final answer
    x = 124,751.81

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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.