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Finding the Fourth Proportional to 165,339, 228,168.96 and 89,890.20

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Solution

The fourth proportional to 165,339, 228,168.96 and 89,890.20 is: 124,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,339 : 228,168.96 = 89,890.20 : x
  2. Step 2: Convert to fraction form
    165,339/228,168.96 = 89,890.20/x
  3. Step 3: Cross multiply
    165,339x = 228,168.96 × 89,890.20
  4. Step 4: Simplify right side
    165,339x = 20,510,153,448.19
  5. Step 5: Solve for x
    x = 20,510,153,448.19/165,339
  6. Step 6: Final answer
    x = 124,049.10

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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.