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Finding the Fourth Proportional to 197,574.39, 296,361.59 and 47,814.71

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Solution

The fourth proportional to 197,574.39, 296,361.59 and 47,814.71 is: 71,722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,574.39 : 296,361.59 = 47,814.71 : x
  2. Step 2: Convert to fraction form
    197,574.39/296,361.59 = 47,814.71/x
  3. Step 3: Cross multiply
    197,574.39x = 296,361.59 × 47,814.71
  4. Step 4: Simplify right side
    197,574.39x = 14,170,441,760.11
  5. Step 5: Solve for x
    x = 14,170,441,760.11/197,574.39
  6. Step 6: Final answer
    x = 71,722.06

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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.