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Finding the Fourth Proportional to 209,628.36, 289,280.81 and 116,493.77

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Solution

The fourth proportional to 209,628.36, 289,280.81 and 116,493.77 is: 160,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,628.36 : 289,280.81 = 116,493.77 : x
  2. Step 2: Convert to fraction form
    209,628.36/289,280.81 = 116,493.77/x
  3. Step 3: Cross multiply
    209,628.36x = 289,280.81 × 116,493.77
  4. Step 4: Simplify right side
    209,628.36x = 33,699,412,145.55
  5. Step 5: Solve for x
    x = 33,699,412,145.55/209,628.36
  6. Step 6: Final answer
    x = 160,757.89

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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.