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Finding the Fourth Proportional to 197,851.89, 296,814.30 and 64,739.61

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Solution

The fourth proportional to 197,851.89, 296,814.30 and 64,739.61 is: 97,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,851.89 : 296,814.30 = 64,739.61 : x
  2. Step 2: Convert to fraction form
    197,851.89/296,814.30 = 64,739.61/x
  3. Step 3: Cross multiply
    197,851.89x = 296,814.30 × 64,739.61
  4. Step 4: Simplify right side
    197,851.89x = 19,215,642,024.42
  5. Step 5: Solve for x
    x = 19,215,642,024.42/197,851.89
  6. Step 6: Final answer
    x = 97,121.35

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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.