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Finding the Fourth Proportional to 196,468.84, 294,716.22 and 71,897.32

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Solution

The fourth proportional to 196,468.84, 294,716.22 and 71,897.32 is: 107,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,468.84 : 294,716.22 = 71,897.32 : x
  2. Step 2: Convert to fraction form
    196,468.84/294,716.22 = 71,897.32/x
  3. Step 3: Cross multiply
    196,468.84x = 294,716.22 × 71,897.32
  4. Step 4: Simplify right side
    196,468.84x = 21,189,306,378.53
  5. Step 5: Solve for x
    x = 21,189,306,378.53/196,468.84
  6. Step 6: Final answer
    x = 107,850.72

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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.