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Finding the Fourth Proportional to 208,451.96, 287,662.98 and 112,961

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Solution

The fourth proportional to 208,451.96, 287,662.98 and 112,961 is: 155,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,451.96 : 287,662.98 = 112,961 : x
  2. Step 2: Convert to fraction form
    208,451.96/287,662.98 = 112,961/x
  3. Step 3: Cross multiply
    208,451.96x = 287,662.98 × 112,961
  4. Step 4: Simplify right side
    208,451.96x = 32,494,697,883.78
  5. Step 5: Solve for x
    x = 32,494,697,883.78/208,451.96
  6. Step 6: Final answer
    x = 155,885.79

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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.