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Finding the Fourth Proportional to 257,313.69, 385,971.44 and 182,206.67

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Solution

The fourth proportional to 257,313.69, 385,971.44 and 182,206.67 is: 273,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,313.69 : 385,971.44 = 182,206.67 : x
  2. Step 2: Convert to fraction form
    257,313.69/385,971.44 = 182,206.67/x
  3. Step 3: Cross multiply
    257,313.69x = 385,971.44 × 182,206.67
  4. Step 4: Simplify right side
    257,313.69x = 70,326,567,956.61
  5. Step 5: Solve for x
    x = 70,326,567,956.61/257,313.69
  6. Step 6: Final answer
    x = 273,310.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.