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Finding the Fourth Proportional to 196,185, 294,280.23 and 55,943.63

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Solution

The fourth proportional to 196,185, 294,280.23 and 55,943.63 is: 83,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,185 : 294,280.23 = 55,943.63 : x
  2. Step 2: Convert to fraction form
    196,185/294,280.23 = 55,943.63/x
  3. Step 3: Cross multiply
    196,185x = 294,280.23 × 55,943.63
  4. Step 4: Simplify right side
    196,185x = 16,463,102,832.03
  5. Step 5: Solve for x
    x = 16,463,102,832.03/196,185
  6. Step 6: Final answer
    x = 83,916.22

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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.