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Finding the Fourth Proportional to 197,663.76, 296,499.29 and 71,313.48

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Solution

The fourth proportional to 197,663.76, 296,499.29 and 71,313.48 is: 106,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,663.76 : 296,499.29 = 71,313.48 : x
  2. Step 2: Convert to fraction form
    197,663.76/296,499.29 = 71,313.48/x
  3. Step 3: Cross multiply
    197,663.76x = 296,499.29 × 71,313.48
  4. Step 4: Simplify right side
    197,663.76x = 21,144,395,830.86
  5. Step 5: Solve for x
    x = 21,144,395,830.86/197,663.76
  6. Step 6: Final answer
    x = 106,971.54

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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.