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Finding the Fourth Proportional to 142,118.66, 196,118.64 and 78,455.09

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Solution

The fourth proportional to 142,118.66, 196,118.64 and 78,455.09 is: 108,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,118.66 : 196,118.64 = 78,455.09 : x
  2. Step 2: Convert to fraction form
    142,118.66/196,118.64 = 78,455.09/x
  3. Step 3: Cross multiply
    142,118.66x = 196,118.64 × 78,455.09
  4. Step 4: Simplify right side
    142,118.66x = 15,386,505,551.88
  5. Step 5: Solve for x
    x = 15,386,505,551.88/142,118.66
  6. Step 6: Final answer
    x = 108,265.20

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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.