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Finding the Fourth Proportional to 197,644.80, 296,029.80 and 162,652.80

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Solution

The fourth proportional to 197,644.80, 296,029.80 and 162,652.80 is: 243,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,644.80 : 296,029.80 = 162,652.80 : x
  2. Step 2: Convert to fraction form
    197,644.80/296,029.80 = 162,652.80/x
  3. Step 3: Cross multiply
    197,644.80x = 296,029.80 × 162,652.80
  4. Step 4: Simplify right side
    197,644.80x = 48,150,075,853.44
  5. Step 5: Solve for x
    x = 48,150,075,853.44/197,644.80
  6. Step 6: Final answer
    x = 243,619.24

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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.