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Finding the Fourth Proportional to 298,184.60, 447,795.30 and 158,216.60

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Solution

The fourth proportional to 298,184.60, 447,795.30 and 158,216.60 is: 237,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,184.60 : 447,795.30 = 158,216.60 : x
  2. Step 2: Convert to fraction form
    298,184.60/447,795.30 = 158,216.60/x
  3. Step 3: Cross multiply
    298,184.60x = 447,795.30 × 158,216.60
  4. Step 4: Simplify right side
    298,184.60x = 70,848,649,861.98
  5. Step 5: Solve for x
    x = 70,848,649,861.98/298,184.60
  6. Step 6: Final answer
    x = 237,599.96

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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.