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Finding the Fourth Proportional to 200,016.34, 299,907.87 and 59,737.30

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Solution

The fourth proportional to 200,016.34, 299,907.87 and 59,737.30 is: 89,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,016.34 : 299,907.87 = 59,737.30 : x
  2. Step 2: Convert to fraction form
    200,016.34/299,907.87 = 59,737.30/x
  3. Step 3: Cross multiply
    200,016.34x = 299,907.87 × 59,737.30
  4. Step 4: Simplify right side
    200,016.34x = 17,915,686,402.55
  5. Step 5: Solve for x
    x = 17,915,686,402.55/200,016.34
  6. Step 6: Final answer
    x = 89,571.11

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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.