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Finding the Fourth Proportional to 209,515.75, 289,126.20 and 114,020.40

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Solution

The fourth proportional to 209,515.75, 289,126.20 and 114,020.40 is: 157,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,515.75 : 289,126.20 = 114,020.40 : x
  2. Step 2: Convert to fraction form
    209,515.75/289,126.20 = 114,020.40/x
  3. Step 3: Cross multiply
    209,515.75x = 289,126.20 × 114,020.40
  4. Step 4: Simplify right side
    209,515.75x = 32,966,282,958.75
  5. Step 5: Solve for x
    x = 32,966,282,958.75/209,515.75
  6. Step 6: Final answer
    x = 157,345.13

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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.