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Finding the Fourth Proportional to 200,858.09, 301,289.21 and 51,098.45

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Solution

The fourth proportional to 200,858.09, 301,289.21 and 51,098.45 is: 76,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,858.09 : 301,289.21 = 51,098.45 : x
  2. Step 2: Convert to fraction form
    200,858.09/301,289.21 = 51,098.45/x
  3. Step 3: Cross multiply
    200,858.09x = 301,289.21 × 51,098.45
  4. Step 4: Simplify right side
    200,858.09x = 15,395,411,377.23
  5. Step 5: Solve for x
    x = 15,395,411,377.23/200,858.09
  6. Step 6: Final answer
    x = 76,648.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.