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Finding the Fourth Proportional to 196,062, 293,993.64 and 83,724.72

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Solution

The fourth proportional to 196,062, 293,993.64 and 83,724.72 is: 125,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,062 : 293,993.64 = 83,724.72 : x
  2. Step 2: Convert to fraction form
    196,062/293,993.64 = 83,724.72/x
  3. Step 3: Cross multiply
    196,062x = 293,993.64 × 83,724.72
  4. Step 4: Simplify right side
    196,062x = 24,614,535,190.78
  5. Step 5: Solve for x
    x = 24,614,535,190.78/196,062
  6. Step 6: Final answer
    x = 125,544.65

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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.