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Finding the Fourth Proportional to 197,503.35, 296,185 and 71,109.69

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Solution

The fourth proportional to 197,503.35, 296,185 and 71,109.69 is: 106,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,503.35 : 296,185 = 71,109.69 : x
  2. Step 2: Convert to fraction form
    197,503.35/296,185 = 71,109.69/x
  3. Step 3: Cross multiply
    197,503.35x = 296,185 × 71,109.69
  4. Step 4: Simplify right side
    197,503.35x = 21,061,623,532.65
  5. Step 5: Solve for x
    x = 21,061,623,532.65/197,503.35
  6. Step 6: Final answer
    x = 106,639.32

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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.