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Finding the Fourth Proportional to 200,503.56, 300,901.02 and 161,531.40

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Solution

The fourth proportional to 200,503.56, 300,901.02 and 161,531.40 is: 242,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,503.56 : 300,901.02 = 161,531.40 : x
  2. Step 2: Convert to fraction form
    200,503.56/300,901.02 = 161,531.40/x
  3. Step 3: Cross multiply
    200,503.56x = 300,901.02 × 161,531.40
  4. Step 4: Simplify right side
    200,503.56x = 48,604,963,022.03
  5. Step 5: Solve for x
    x = 48,604,963,022.03/200,503.56
  6. Step 6: Final answer
    x = 242,414.46

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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.