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Finding the Fourth Proportional to 206,692.49, 310,038.74 and 66,451.12

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Solution

The fourth proportional to 206,692.49, 310,038.74 and 66,451.12 is: 99,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,692.49 : 310,038.74 = 66,451.12 : x
  2. Step 2: Convert to fraction form
    206,692.49/310,038.74 = 66,451.12/x
  3. Step 3: Cross multiply
    206,692.49x = 310,038.74 × 66,451.12
  4. Step 4: Simplify right side
    206,692.49x = 20,602,420,658.23
  5. Step 5: Solve for x
    x = 20,602,420,658.23/206,692.49
  6. Step 6: Final answer
    x = 99,676.68

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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.