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Finding the Fourth Proportional to 196,198.88, 294,301.15 and 55,957.50

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Solution

The fourth proportional to 196,198.88, 294,301.15 and 55,957.50 is: 83,937.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,198.88 : 294,301.15 = 55,957.50 : x
  2. Step 2: Convert to fraction form
    196,198.88/294,301.15 = 55,957.50/x
  3. Step 3: Cross multiply
    196,198.88x = 294,301.15 × 55,957.50
  4. Step 4: Simplify right side
    196,198.88x = 16,468,356,461.23
  5. Step 5: Solve for x
    x = 16,468,356,461.23/196,198.88
  6. Step 6: Final answer
    x = 83,937.06

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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.