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Finding the Fourth Proportional to 197,952.20, 296,928.30 and 164,709.80

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Solution

The fourth proportional to 197,952.20, 296,928.30 and 164,709.80 is: 247,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,952.20 : 296,928.30 = 164,709.80 : x
  2. Step 2: Convert to fraction form
    197,952.20/296,928.30 = 164,709.80/x
  3. Step 3: Cross multiply
    197,952.20x = 296,928.30 × 164,709.80
  4. Step 4: Simplify right side
    197,952.20x = 48,907,000,907.34
  5. Step 5: Solve for x
    x = 48,907,000,907.34/197,952.20
  6. Step 6: Final answer
    x = 247,064.70

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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.