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Finding the Fourth Proportional to 199,322, 298,984.08 and 51,578

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Solution

The fourth proportional to 199,322, 298,984.08 and 51,578 is: 77,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,322 : 298,984.08 = 51,578 : x
  2. Step 2: Convert to fraction form
    199,322/298,984.08 = 51,578/x
  3. Step 3: Cross multiply
    199,322x = 298,984.08 × 51,578
  4. Step 4: Simplify right side
    199,322x = 15,421,000,878.24
  5. Step 5: Solve for x
    x = 15,421,000,878.24/199,322
  6. Step 6: Final answer
    x = 77,367.28

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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.