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Finding the Fourth Proportional to 208,611.27, 314,480.46 and 194,707.51

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Solution

The fourth proportional to 208,611.27, 314,480.46 and 194,707.51 is: 293,520.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,611.27 : 314,480.46 = 194,707.51 : x
  2. Step 2: Convert to fraction form
    208,611.27/314,480.46 = 194,707.51/x
  3. Step 3: Cross multiply
    208,611.27x = 314,480.46 × 194,707.51
  4. Step 4: Simplify right side
    208,611.27x = 61,231,707,422.64
  5. Step 5: Solve for x
    x = 61,231,707,422.64/208,611.27
  6. Step 6: Final answer
    x = 293,520.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.