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Finding the Fourth Proportional to 209,286.60, 314,102.70 and 97,139.40

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Solution

The fourth proportional to 209,286.60, 314,102.70 and 97,139.40 is: 145,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,286.60 : 314,102.70 = 97,139.40 : x
  2. Step 2: Convert to fraction form
    209,286.60/314,102.70 = 97,139.40/x
  3. Step 3: Cross multiply
    209,286.60x = 314,102.70 × 97,139.40
  4. Step 4: Simplify right side
    209,286.60x = 30,511,747,816.38
  5. Step 5: Solve for x
    x = 30,511,747,816.38/209,286.60
  6. Step 6: Final answer
    x = 145,789.30

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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.