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Finding the Fourth Proportional to 197,809.56, 296,724.60 and 57,579.12

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Solution

The fourth proportional to 197,809.56, 296,724.60 and 57,579.12 is: 86,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,809.56 : 296,724.60 = 57,579.12 : x
  2. Step 2: Convert to fraction form
    197,809.56/296,724.60 = 57,579.12/x
  3. Step 3: Cross multiply
    197,809.56x = 296,724.60 × 57,579.12
  4. Step 4: Simplify right side
    197,809.56x = 17,085,141,350.35
  5. Step 5: Solve for x
    x = 17,085,141,350.35/197,809.56
  6. Step 6: Final answer
    x = 86,371.67

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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.