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Finding the Fourth Proportional to 197,603.96, 296,406.68 and 47,844

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Solution

The fourth proportional to 197,603.96, 296,406.68 and 47,844 is: 71,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,603.96 : 296,406.68 = 47,844 : x
  2. Step 2: Convert to fraction form
    197,603.96/296,406.68 = 47,844/x
  3. Step 3: Cross multiply
    197,603.96x = 296,406.68 × 47,844
  4. Step 4: Simplify right side
    197,603.96x = 14,181,280,958.70
  5. Step 5: Solve for x
    x = 14,181,280,958.70/197,603.96
  6. Step 6: Final answer
    x = 71,766.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.