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Finding the Fourth Proportional to 165,882.28, 228,916.38 and 90,431.32

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Solution

The fourth proportional to 165,882.28, 228,916.38 and 90,431.32 is: 124,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,882.28 : 228,916.38 = 90,431.32 : x
  2. Step 2: Convert to fraction form
    165,882.28/228,916.38 = 90,431.32/x
  3. Step 3: Cross multiply
    165,882.28x = 228,916.38 × 90,431.32
  4. Step 4: Simplify right side
    165,882.28x = 20,701,210,413.02
  5. Step 5: Solve for x
    x = 20,701,210,413.02/165,882.28
  6. Step 6: Final answer
    x = 124,794.59

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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.