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Finding the Fourth Proportional to 144,894.48, 199,964 and 81,236.40

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Solution

The fourth proportional to 144,894.48, 199,964 and 81,236.40 is: 112,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,894.48 : 199,964 = 81,236.40 : x
  2. Step 2: Convert to fraction form
    144,894.48/199,964 = 81,236.40/x
  3. Step 3: Cross multiply
    144,894.48x = 199,964 × 81,236.40
  4. Step 4: Simplify right side
    144,894.48x = 16,244,355,489.60
  5. Step 5: Solve for x
    x = 16,244,355,489.60/144,894.48
  6. Step 6: Final answer
    x = 112,111.62

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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.