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Finding the Fourth Proportional to 142,605.23, 196,797.54 and 78,073.39

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Solution

The fourth proportional to 142,605.23, 196,797.54 and 78,073.39 is: 107,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,605.23 : 196,797.54 = 78,073.39 : x
  2. Step 2: Convert to fraction form
    142,605.23/196,797.54 = 78,073.39/x
  3. Step 3: Cross multiply
    142,605.23x = 196,797.54 × 78,073.39
  4. Step 4: Simplify right side
    142,605.23x = 15,364,650,107.47
  5. Step 5: Solve for x
    x = 15,364,650,107.47/142,605.23
  6. Step 6: Final answer
    x = 107,742.54

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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.