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Finding the Fourth Proportional to 294,182.40, 441,388.80 and 107,212.80

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Solution

The fourth proportional to 294,182.40, 441,388.80 and 107,212.80 is: 160,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,182.40 : 441,388.80 = 107,212.80 : x
  2. Step 2: Convert to fraction form
    294,182.40/441,388.80 = 107,212.80/x
  3. Step 3: Cross multiply
    294,182.40x = 441,388.80 × 107,212.80
  4. Step 4: Simplify right side
    294,182.40x = 47,322,529,136.64
  5. Step 5: Solve for x
    x = 47,322,529,136.64/294,182.40
  6. Step 6: Final answer
    x = 160,861.18

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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.