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Finding the Fourth Proportional to 142,411.77, 196,532.33 and 78,755.49

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Solution

The fourth proportional to 142,411.77, 196,532.33 and 78,755.49 is: 108,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,411.77 : 196,532.33 = 78,755.49 : x
  2. Step 2: Convert to fraction form
    142,411.77/196,532.33 = 78,755.49/x
  3. Step 3: Cross multiply
    142,411.77x = 196,532.33 × 78,755.49
  4. Step 4: Simplify right side
    142,411.77x = 15,477,999,556.21
  5. Step 5: Solve for x
    x = 15,477,999,556.21/142,411.77
  6. Step 6: Final answer
    x = 108,684.83

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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.