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Finding the Fourth Proportional to 196,517.34, 294,529.32 and 84,065.40

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Solution

The fourth proportional to 196,517.34, 294,529.32 and 84,065.40 is: 125,992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,517.34 : 294,529.32 = 84,065.40 : x
  2. Step 2: Convert to fraction form
    196,517.34/294,529.32 = 84,065.40/x
  3. Step 3: Cross multiply
    196,517.34x = 294,529.32 × 84,065.40
  4. Step 4: Simplify right side
    196,517.34x = 24,759,725,097.53
  5. Step 5: Solve for x
    x = 24,759,725,097.53/196,517.34
  6. Step 6: Final answer
    x = 125,992.57

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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.