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Finding the Fourth Proportional to 199,635.60, 299,453.40 and 187,825.80

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Solution

The fourth proportional to 199,635.60, 299,453.40 and 187,825.80 is: 281,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,635.60 : 299,453.40 = 187,825.80 : x
  2. Step 2: Convert to fraction form
    199,635.60/299,453.40 = 187,825.80/x
  3. Step 3: Cross multiply
    199,635.60x = 299,453.40 × 187,825.80
  4. Step 4: Simplify right side
    199,635.60x = 56,245,074,417.72
  5. Step 5: Solve for x
    x = 56,245,074,417.72/199,635.60
  6. Step 6: Final answer
    x = 281,738.70

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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.