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Finding the Fourth Proportional to 209,340.36, 288,897.36 and 119,933.64

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Solution

The fourth proportional to 209,340.36, 288,897.36 and 119,933.64 is: 165,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,340.36 : 288,897.36 = 119,933.64 : x
  2. Step 2: Convert to fraction form
    209,340.36/288,897.36 = 119,933.64/x
  3. Step 3: Cross multiply
    209,340.36x = 288,897.36 × 119,933.64
  4. Step 4: Simplify right side
    209,340.36x = 34,648,511,971.19
  5. Step 5: Solve for x
    x = 34,648,511,971.19/209,340.36
  6. Step 6: Final answer
    x = 165,512.81

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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.