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Finding the Fourth Proportional to 165,242.32, 228,035 and 89,790.80

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Solution

The fourth proportional to 165,242.32, 228,035 and 89,790.80 is: 123,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,242.32 : 228,035 = 89,790.80 : x
  2. Step 2: Convert to fraction form
    165,242.32/228,035 = 89,790.80/x
  3. Step 3: Cross multiply
    165,242.32x = 228,035 × 89,790.80
  4. Step 4: Simplify right side
    165,242.32x = 20,475,445,078
  5. Step 5: Solve for x
    x = 20,475,445,078/165,242.32
  6. Step 6: Final answer
    x = 123,911.63

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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.