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Finding the Fourth Proportional to 209,876.36, 289,637.18 and 119,247.68

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Solution

The fourth proportional to 209,876.36, 289,637.18 and 119,247.68 is: 164,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,876.36 : 289,637.18 = 119,247.68 : x
  2. Step 2: Convert to fraction form
    209,876.36/289,637.18 = 119,247.68/x
  3. Step 3: Cross multiply
    209,876.36x = 289,637.18 × 119,247.68
  4. Step 4: Simplify right side
    209,876.36x = 34,538,562,778.95
  5. Step 5: Solve for x
    x = 34,538,562,778.95/209,876.36
  6. Step 6: Final answer
    x = 164,566.24

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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.