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Finding the Fourth Proportional to 196,012.40, 293,716.20 and 145,857.20

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Solution

The fourth proportional to 196,012.40, 293,716.20 and 145,857.20 is: 218,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,012.40 : 293,716.20 = 145,857.20 : x
  2. Step 2: Convert to fraction form
    196,012.40/293,716.20 = 145,857.20/x
  3. Step 3: Cross multiply
    196,012.40x = 293,716.20 × 145,857.20
  4. Step 4: Simplify right side
    196,012.40x = 42,840,622,526.64
  5. Step 5: Solve for x
    x = 42,840,622,526.64/196,012.40
  6. Step 6: Final answer
    x = 218,560.78

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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.