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Finding the Fourth Proportional to 142,108.50, 196,105.94 and 78,444.94

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Solution

The fourth proportional to 142,108.50, 196,105.94 and 78,444.94 is: 108,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,108.50 : 196,105.94 = 78,444.94 : x
  2. Step 2: Convert to fraction form
    142,108.50/196,105.94 = 78,444.94/x
  3. Step 3: Cross multiply
    142,108.50x = 196,105.94 × 78,444.94
  4. Step 4: Simplify right side
    142,108.50x = 15,383,518,696.94
  5. Step 5: Solve for x
    x = 15,383,518,696.94/142,108.50
  6. Step 6: Final answer
    x = 108,251.93

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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.