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Finding the Fourth Proportional to 301,900.33, 416,661.87 and 194,781.98

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Solution

The fourth proportional to 301,900.33, 416,661.87 and 194,781.98 is: 268,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,900.33 : 416,661.87 = 194,781.98 : x
  2. Step 2: Convert to fraction form
    301,900.33/416,661.87 = 194,781.98/x
  3. Step 3: Cross multiply
    301,900.33x = 416,661.87 × 194,781.98
  4. Step 4: Simplify right side
    301,900.33x = 81,158,225,801.19
  5. Step 5: Solve for x
    x = 81,158,225,801.19/301,900.33
  6. Step 6: Final answer
    x = 268,824.57

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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.