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Finding the Fourth Proportional to 206,647.40, 310,014.30 and 66,420.20

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Solution

The fourth proportional to 206,647.40, 310,014.30 and 66,420.20 is: 99,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,647.40 : 310,014.30 = 66,420.20 : x
  2. Step 2: Convert to fraction form
    206,647.40/310,014.30 = 66,420.20/x
  3. Step 3: Cross multiply
    206,647.40x = 310,014.30 × 66,420.20
  4. Step 4: Simplify right side
    206,647.40x = 20,591,211,808.86
  5. Step 5: Solve for x
    x = 20,591,211,808.86/206,647.40
  6. Step 6: Final answer
    x = 99,644.19

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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.