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Finding the Fourth Proportional to 142,205.64, 196,246.44 and 78,542.07

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Solution

The fourth proportional to 142,205.64, 196,246.44 and 78,542.07 is: 108,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,205.64 : 196,246.44 = 78,542.07 : x
  2. Step 2: Convert to fraction form
    142,205.64/196,246.44 = 78,542.07/x
  3. Step 3: Cross multiply
    142,205.64x = 196,246.44 × 78,542.07
  4. Step 4: Simplify right side
    142,205.64x = 15,413,601,627.73
  5. Step 5: Solve for x
    x = 15,413,601,627.73/142,205.64
  6. Step 6: Final answer
    x = 108,389.52

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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.