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Finding the Fourth Proportional to 196,467.50, 294,701.26 and 71,808.50

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Solution

The fourth proportional to 196,467.50, 294,701.26 and 71,808.50 is: 107,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,467.50 : 294,701.26 = 71,808.50 : x
  2. Step 2: Convert to fraction form
    196,467.50/294,701.26 = 71,808.50/x
  3. Step 3: Cross multiply
    196,467.50x = 294,701.26 × 71,808.50
  4. Step 4: Simplify right side
    196,467.50x = 21,162,055,428.71
  5. Step 5: Solve for x
    x = 21,162,055,428.71/196,467.50
  6. Step 6: Final answer
    x = 107,712.75

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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.