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Finding the Fourth Proportional to 209,114.36, 313,495.19 and 90,696.51

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Solution

The fourth proportional to 209,114.36, 313,495.19 and 90,696.51 is: 135,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,114.36 : 313,495.19 = 90,696.51 : x
  2. Step 2: Convert to fraction form
    209,114.36/313,495.19 = 90,696.51/x
  3. Step 3: Cross multiply
    209,114.36x = 313,495.19 × 90,696.51
  4. Step 4: Simplify right side
    209,114.36x = 28,432,917,613.83
  5. Step 5: Solve for x
    x = 28,432,917,613.83/209,114.36
  6. Step 6: Final answer
    x = 135,968.27

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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.