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Finding the Fourth Proportional to 197,950.40, 296,896.80 and 57,694.40

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Solution

The fourth proportional to 197,950.40, 296,896.80 and 57,694.40 is: 86,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,950.40 : 296,896.80 = 57,694.40 : x
  2. Step 2: Convert to fraction form
    197,950.40/296,896.80 = 57,694.40/x
  3. Step 3: Cross multiply
    197,950.40x = 296,896.80 × 57,694.40
  4. Step 4: Simplify right side
    197,950.40x = 17,129,282,737.92
  5. Step 5: Solve for x
    x = 17,129,282,737.92/197,950.40
  6. Step 6: Final answer
    x = 86,533.21

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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.