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Finding the Fourth Proportional to 209,638.35, 289,294.61 and 116,503.79

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Solution

The fourth proportional to 209,638.35, 289,294.61 and 116,503.79 is: 160,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,638.35 : 289,294.61 = 116,503.79 : x
  2. Step 2: Convert to fraction form
    209,638.35/289,294.61 = 116,503.79/x
  3. Step 3: Cross multiply
    209,638.35x = 289,294.61 × 116,503.79
  4. Step 4: Simplify right side
    209,638.35x = 33,703,916,462.58
  5. Step 5: Solve for x
    x = 33,703,916,462.58/209,638.35
  6. Step 6: Final answer
    x = 160,771.71

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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.