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Finding the Fourth Proportional to 140,240.54, 193,531.92 and 76,578.39

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Solution

The fourth proportional to 140,240.54, 193,531.92 and 76,578.39 is: 105,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,240.54 : 193,531.92 = 76,578.39 : x
  2. Step 2: Convert to fraction form
    140,240.54/193,531.92 = 76,578.39/x
  3. Step 3: Cross multiply
    140,240.54x = 193,531.92 × 76,578.39
  4. Step 4: Simplify right side
    140,240.54x = 14,820,362,847.21
  5. Step 5: Solve for x
    x = 14,820,362,847.21/140,240.54
  6. Step 6: Final answer
    x = 105,678.17

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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.