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Finding the Fourth Proportional to 142,115.49, 196,119.37 and 78,453.74

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Solution

The fourth proportional to 142,115.49, 196,119.37 and 78,453.74 is: 108,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,115.49 : 196,119.37 = 78,453.74 : x
  2. Step 2: Convert to fraction form
    142,115.49/196,119.37 = 78,453.74/x
  3. Step 3: Cross multiply
    142,115.49x = 196,119.37 × 78,453.74
  4. Step 4: Simplify right side
    142,115.49x = 15,386,298,651.31
  5. Step 5: Solve for x
    x = 15,386,298,651.31/142,115.49
  6. Step 6: Final answer
    x = 108,266.16

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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.