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Finding the Fourth Proportional to 202,190.20, 302,702.10 and 135,705.40

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Solution

The fourth proportional to 202,190.20, 302,702.10 and 135,705.40 is: 203,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,190.20 : 302,702.10 = 135,705.40 : x
  2. Step 2: Convert to fraction form
    202,190.20/302,702.10 = 135,705.40/x
  3. Step 3: Cross multiply
    202,190.20x = 302,702.10 × 135,705.40
  4. Step 4: Simplify right side
    202,190.20x = 41,078,309,561.34
  5. Step 5: Solve for x
    x = 41,078,309,561.34/202,190.20
  6. Step 6: Final answer
    x = 203,166.67

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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.