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Finding the Fourth Proportional to 213,638.40, 320,489.48 and 78,692.19

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Solution

The fourth proportional to 213,638.40, 320,489.48 and 78,692.19 is: 118,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,638.40 : 320,489.48 = 78,692.19 : x
  2. Step 2: Convert to fraction form
    213,638.40/320,489.48 = 78,692.19/x
  3. Step 3: Cross multiply
    213,638.40x = 320,489.48 × 78,692.19
  4. Step 4: Simplify right side
    213,638.40x = 25,220,019,053.16
  5. Step 5: Solve for x
    x = 25,220,019,053.16/213,638.40
  6. Step 6: Final answer
    x = 118,050.03

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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.