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Finding the Fourth Proportional to 165,912, 228,879.60 and 112,215.84

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Solution

The fourth proportional to 165,912, 228,879.60 and 112,215.84 is: 154,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,912 : 228,879.60 = 112,215.84 : x
  2. Step 2: Convert to fraction form
    165,912/228,879.60 = 112,215.84/x
  3. Step 3: Cross multiply
    165,912x = 228,879.60 × 112,215.84
  4. Step 4: Simplify right side
    165,912x = 25,683,916,572.86
  5. Step 5: Solve for x
    x = 25,683,916,572.86/165,912
  6. Step 6: Final answer
    x = 154,804.45

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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.