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Finding the Fourth Proportional to 209,640.60, 314,590.50 and 84,982.68

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Solution

The fourth proportional to 209,640.60, 314,590.50 and 84,982.68 is: 127,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,640.60 : 314,590.50 = 84,982.68 : x
  2. Step 2: Convert to fraction form
    209,640.60/314,590.50 = 84,982.68/x
  3. Step 3: Cross multiply
    209,640.60x = 314,590.50 × 84,982.68
  4. Step 4: Simplify right side
    209,640.60x = 26,734,743,792.54
  5. Step 5: Solve for x
    x = 26,734,743,792.54/209,640.60
  6. Step 6: Final answer
    x = 127,526.56

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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.