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Finding the Fourth Proportional to 255,655.70, 383,872.35 and 196,558.10

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Solution

The fourth proportional to 255,655.70, 383,872.35 and 196,558.10 is: 295,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,655.70 : 383,872.35 = 196,558.10 : x
  2. Step 2: Convert to fraction form
    255,655.70/383,872.35 = 196,558.10/x
  3. Step 3: Cross multiply
    255,655.70x = 383,872.35 × 196,558.10
  4. Step 4: Simplify right side
    255,655.70x = 75,453,219,758.54
  5. Step 5: Solve for x
    x = 75,453,219,758.54/255,655.70
  6. Step 6: Final answer
    x = 295,136.07

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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.