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Finding the Fourth Proportional to 142,046.34, 196,022.07 and 78,382.50

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Solution

The fourth proportional to 142,046.34, 196,022.07 and 78,382.50 is: 108,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,046.34 : 196,022.07 = 78,382.50 : x
  2. Step 2: Convert to fraction form
    142,046.34/196,022.07 = 78,382.50/x
  3. Step 3: Cross multiply
    142,046.34x = 196,022.07 × 78,382.50
  4. Step 4: Simplify right side
    142,046.34x = 15,364,699,901.78
  5. Step 5: Solve for x
    x = 15,364,699,901.78/142,046.34
  6. Step 6: Final answer
    x = 108,166.81

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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.