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Finding the Fourth Proportional to 197,493.89, 296,271.54 and 64,343.12

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Solution

The fourth proportional to 197,493.89, 296,271.54 and 64,343.12 is: 96,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,493.89 : 296,271.54 = 64,343.12 : x
  2. Step 2: Convert to fraction form
    197,493.89/296,271.54 = 64,343.12/x
  3. Step 3: Cross multiply
    197,493.89x = 296,271.54 × 64,343.12
  4. Step 4: Simplify right side
    197,493.89x = 19,063,033,769.45
  5. Step 5: Solve for x
    x = 19,063,033,769.45/197,493.89
  6. Step 6: Final answer
    x = 96,524.68

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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.