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Finding the Fourth Proportional to 255,843.70, 383,441.55 and 97,861.30

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Solution

The fourth proportional to 255,843.70, 383,441.55 and 97,861.30 is: 146,668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,843.70 : 383,441.55 = 97,861.30 : x
  2. Step 2: Convert to fraction form
    255,843.70/383,441.55 = 97,861.30/x
  3. Step 3: Cross multiply
    255,843.70x = 383,441.55 × 97,861.30
  4. Step 4: Simplify right side
    255,843.70x = 37,524,088,557.02
  5. Step 5: Solve for x
    x = 37,524,088,557.02/255,843.70
  6. Step 6: Final answer
    x = 146,668.02

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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.