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Finding the Fourth Proportional to 140,946.22, 194,451.54 and 89,960.77

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Solution

The fourth proportional to 140,946.22, 194,451.54 and 89,960.77 is: 124,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,946.22 : 194,451.54 = 89,960.77 : x
  2. Step 2: Convert to fraction form
    140,946.22/194,451.54 = 89,960.77/x
  3. Step 3: Cross multiply
    140,946.22x = 194,451.54 × 89,960.77
  4. Step 4: Simplify right side
    140,946.22x = 17,493,010,266.09
  5. Step 5: Solve for x
    x = 17,493,010,266.09/140,946.22
  6. Step 6: Final answer
    x = 124,111.24

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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.