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Finding the Fourth Proportional to 202,171.40, 303,257.10 and 162,805.40

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Solution

The fourth proportional to 202,171.40, 303,257.10 and 162,805.40 is: 244,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,171.40 : 303,257.10 = 162,805.40 : x
  2. Step 2: Convert to fraction form
    202,171.40/303,257.10 = 162,805.40/x
  3. Step 3: Cross multiply
    202,171.40x = 303,257.10 × 162,805.40
  4. Step 4: Simplify right side
    202,171.40x = 49,371,893,468.34
  5. Step 5: Solve for x
    x = 49,371,893,468.34/202,171.40
  6. Step 6: Final answer
    x = 244,208.10

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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.