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Finding the Fourth Proportional to 199,504.85, 299,257.27 and 133,074.72

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Solution

The fourth proportional to 199,504.85, 299,257.27 and 133,074.72 is: 199,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,504.85 : 299,257.27 = 133,074.72 : x
  2. Step 2: Convert to fraction form
    199,504.85/299,257.27 = 133,074.72/x
  3. Step 3: Cross multiply
    199,504.85x = 299,257.27 × 133,074.72
  4. Step 4: Simplify right side
    199,504.85x = 39,823,577,080.53
  5. Step 5: Solve for x
    x = 39,823,577,080.53/199,504.85
  6. Step 6: Final answer
    x = 199,612.08

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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.