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Finding the Fourth Proportional to 196,452.84, 294,677.10 and 117,589.08

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Solution

The fourth proportional to 196,452.84, 294,677.10 and 117,589.08 is: 176,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,452.84 : 294,677.10 = 117,589.08 : x
  2. Step 2: Convert to fraction form
    196,452.84/294,677.10 = 117,589.08/x
  3. Step 3: Cross multiply
    196,452.84x = 294,677.10 × 117,589.08
  4. Step 4: Simplify right side
    196,452.84x = 34,650,809,086.07
  5. Step 5: Solve for x
    x = 34,650,809,086.07/196,452.84
  6. Step 6: Final answer
    x = 176,382.33

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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.