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Finding the Fourth Proportional to 142,078.36, 196,069.74 and 78,416.14

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Solution

The fourth proportional to 142,078.36, 196,069.74 and 78,416.14 is: 108,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,078.36 : 196,069.74 = 78,416.14 : x
  2. Step 2: Convert to fraction form
    142,078.36/196,069.74 = 78,416.14/x
  3. Step 3: Cross multiply
    142,078.36x = 196,069.74 × 78,416.14
  4. Step 4: Simplify right side
    142,078.36x = 15,375,032,181.60
  5. Step 5: Solve for x
    x = 15,375,032,181.60/142,078.36
  6. Step 6: Final answer
    x = 108,215.16

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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.