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Finding the Fourth Proportional to 196,219, 294,331.32 and 55,977.64

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Solution

The fourth proportional to 196,219, 294,331.32 and 55,977.64 is: 83,967.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,219 : 294,331.32 = 55,977.64 : x
  2. Step 2: Convert to fraction form
    196,219/294,331.32 = 55,977.64/x
  3. Step 3: Cross multiply
    196,219x = 294,331.32 × 55,977.64
  4. Step 4: Simplify right side
    196,219x = 16,475,972,671.68
  5. Step 5: Solve for x
    x = 16,475,972,671.68/196,219
  6. Step 6: Final answer
    x = 83,967.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.