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Finding the Fourth Proportional to 209,665.47, 289,335.49 and 119,020.64

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Solution

The fourth proportional to 209,665.47, 289,335.49 and 119,020.64 is: 164,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,665.47 : 289,335.49 = 119,020.64 : x
  2. Step 2: Convert to fraction form
    209,665.47/289,335.49 = 119,020.64/x
  3. Step 3: Cross multiply
    209,665.47x = 289,335.49 × 119,020.64
  4. Step 4: Simplify right side
    209,665.47x = 34,436,894,994.11
  5. Step 5: Solve for x
    x = 34,436,894,994.11/209,665.47
  6. Step 6: Final answer
    x = 164,246.86

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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.