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Finding the Fourth Proportional to 200,101.98, 300,364.41 and 195,584.22

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Solution

The fourth proportional to 200,101.98, 300,364.41 and 195,584.22 is: 293,583.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,101.98 : 300,364.41 = 195,584.22 : x
  2. Step 2: Convert to fraction form
    200,101.98/300,364.41 = 195,584.22/x
  3. Step 3: Cross multiply
    200,101.98x = 300,364.41 × 195,584.22
  4. Step 4: Simplify right side
    200,101.98x = 58,746,538,845.61
  5. Step 5: Solve for x
    x = 58,746,538,845.61/200,101.98
  6. Step 6: Final answer
    x = 293,583.00

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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.