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Finding the Fourth Proportional to 205,548.60, 308,322.90 and 194,143.80

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Solution

The fourth proportional to 205,548.60, 308,322.90 and 194,143.80 is: 291,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,548.60 : 308,322.90 = 194,143.80 : x
  2. Step 2: Convert to fraction form
    205,548.60/308,322.90 = 194,143.80/x
  3. Step 3: Cross multiply
    205,548.60x = 308,322.90 × 194,143.80
  4. Step 4: Simplify right side
    205,548.60x = 59,858,979,433.02
  5. Step 5: Solve for x
    x = 59,858,979,433.02/205,548.60
  6. Step 6: Final answer
    x = 291,215.70

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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.