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Finding the Fourth Proportional to 200,015.84, 299,907.12 and 59,736.80

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Solution

The fourth proportional to 200,015.84, 299,907.12 and 59,736.80 is: 89,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,015.84 : 299,907.12 = 59,736.80 : x
  2. Step 2: Convert to fraction form
    200,015.84/299,907.12 = 59,736.80/x
  3. Step 3: Cross multiply
    200,015.84x = 299,907.12 × 59,736.80
  4. Step 4: Simplify right side
    200,015.84x = 17,915,491,646.02
  5. Step 5: Solve for x
    x = 17,915,491,646.02/200,015.84
  6. Step 6: Final answer
    x = 89,570.36

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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.