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Finding the Fourth Proportional to 196,191, 294,289.27 and 55,949.63

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Solution

The fourth proportional to 196,191, 294,289.27 and 55,949.63 is: 83,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,191 : 294,289.27 = 55,949.63 : x
  2. Step 2: Convert to fraction form
    196,191/294,289.27 = 55,949.63/x
  3. Step 3: Cross multiply
    196,191x = 294,289.27 × 55,949.63
  4. Step 4: Simplify right side
    196,191x = 16,465,374,158.15
  5. Step 5: Solve for x
    x = 16,465,374,158.15/196,191
  6. Step 6: Final answer
    x = 83,925.23

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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.