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Finding the Fourth Proportional to 165,834, 228,857.10 and 94,226.16

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Solution

The fourth proportional to 165,834, 228,857.10 and 94,226.16 is: 130,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,834 : 228,857.10 = 94,226.16 : x
  2. Step 2: Convert to fraction form
    165,834/228,857.10 = 94,226.16/x
  3. Step 3: Cross multiply
    165,834x = 228,857.10 × 94,226.16
  4. Step 4: Simplify right side
    165,834x = 21,564,325,721.74
  5. Step 5: Solve for x
    x = 21,564,325,721.74/165,834
  6. Step 6: Final answer
    x = 130,035.61

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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.