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Finding the Fourth Proportional to 209,872.40, 314,808.60 and 165,635.60

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Solution

The fourth proportional to 209,872.40, 314,808.60 and 165,635.60 is: 248,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,872.40 : 314,808.60 = 165,635.60 : x
  2. Step 2: Convert to fraction form
    209,872.40/314,808.60 = 165,635.60/x
  3. Step 3: Cross multiply
    209,872.40x = 314,808.60 × 165,635.60
  4. Step 4: Simplify right side
    209,872.40x = 52,143,511,346.16
  5. Step 5: Solve for x
    x = 52,143,511,346.16/209,872.40
  6. Step 6: Final answer
    x = 248,453.40

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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.