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Finding the Fourth Proportional to 251,049.98, 346,348.81 and 160,382.43

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Solution

The fourth proportional to 251,049.98, 346,348.81 and 160,382.43 is: 221,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,049.98 : 346,348.81 = 160,382.43 : x
  2. Step 2: Convert to fraction form
    251,049.98/346,348.81 = 160,382.43/x
  3. Step 3: Cross multiply
    251,049.98x = 346,348.81 × 160,382.43
  4. Step 4: Simplify right side
    251,049.98x = 55,548,263,975.89
  5. Step 5: Solve for x
    x = 55,548,263,975.89/251,049.98
  6. Step 6: Final answer
    x = 221,263.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.