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Finding the Fourth Proportional to 209,691.28, 289,355.69 and 119,051.07

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Solution

The fourth proportional to 209,691.28, 289,355.69 and 119,051.07 is: 164,280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,691.28 : 289,355.69 = 119,051.07 : x
  2. Step 2: Convert to fraction form
    209,691.28/289,355.69 = 119,051.07/x
  3. Step 3: Cross multiply
    209,691.28x = 289,355.69 × 119,051.07
  4. Step 4: Simplify right side
    209,691.28x = 34,448,103,717.63
  5. Step 5: Solve for x
    x = 34,448,103,717.63/209,691.28
  6. Step 6: Final answer
    x = 164,280.10

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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.