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Finding the Fourth Proportional to 165,323.35, 228,171.12 and 100,830

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Solution

The fourth proportional to 165,323.35, 228,171.12 and 100,830 is: 139,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,323.35 : 228,171.12 = 100,830 : x
  2. Step 2: Convert to fraction form
    165,323.35/228,171.12 = 100,830/x
  3. Step 3: Cross multiply
    165,323.35x = 228,171.12 × 100,830
  4. Step 4: Simplify right side
    165,323.35x = 23,006,494,029.60
  5. Step 5: Solve for x
    x = 23,006,494,029.60/165,323.35
  6. Step 6: Final answer
    x = 139,160.58

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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.