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Finding the Fourth Proportional to 231,853.92, 319,806 and 181,465.44

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Solution

The fourth proportional to 231,853.92, 319,806 and 181,465.44 is: 250,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,853.92 : 319,806 = 181,465.44 : x
  2. Step 2: Convert to fraction form
    231,853.92/319,806 = 181,465.44/x
  3. Step 3: Cross multiply
    231,853.92x = 319,806 × 181,465.44
  4. Step 4: Simplify right side
    231,853.92x = 58,033,736,504.64
  5. Step 5: Solve for x
    x = 58,033,736,504.64/231,853.92
  6. Step 6: Final answer
    x = 250,303.02

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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.