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Finding the Fourth Proportional to 206,167.10, 284,647.65 and 158,334.98

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Solution

The fourth proportional to 206,167.10, 284,647.65 and 158,334.98 is: 218,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,167.10 : 284,647.65 = 158,334.98 : x
  2. Step 2: Convert to fraction form
    206,167.10/284,647.65 = 158,334.98/x
  3. Step 3: Cross multiply
    206,167.10x = 284,647.65 × 158,334.98
  4. Step 4: Simplify right side
    206,167.10x = 45,069,679,969.80
  5. Step 5: Solve for x
    x = 45,069,679,969.80/206,167.10
  6. Step 6: Final answer
    x = 218,607.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.