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Finding the Fourth Proportional to 209,776.26, 289,498.68 and 119,129.70

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Solution

The fourth proportional to 209,776.26, 289,498.68 and 119,129.70 is: 164,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,776.26 : 289,498.68 = 119,129.70 : x
  2. Step 2: Convert to fraction form
    209,776.26/289,498.68 = 119,129.70/x
  3. Step 3: Cross multiply
    209,776.26x = 289,498.68 × 119,129.70
  4. Step 4: Simplify right side
    209,776.26x = 34,487,890,898.80
  5. Step 5: Solve for x
    x = 34,487,890,898.80/209,776.26
  6. Step 6: Final answer
    x = 164,403.21

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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.