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Finding the Fourth Proportional to 209,919.34, 289,677.75 and 119,262.72

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Solution

The fourth proportional to 209,919.34, 289,677.75 and 119,262.72 is: 164,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,919.34 : 289,677.75 = 119,262.72 : x
  2. Step 2: Convert to fraction form
    209,919.34/289,677.75 = 119,262.72/x
  3. Step 3: Cross multiply
    209,919.34x = 289,677.75 × 119,262.72
  4. Step 4: Simplify right side
    209,919.34x = 34,547,756,388.48
  5. Step 5: Solve for x
    x = 34,547,756,388.48/209,919.34
  6. Step 6: Final answer
    x = 164,576.34

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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.