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Finding the Fourth Proportional to 209,515.59, 289,132.53 and 114,022.28

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Solution

The fourth proportional to 209,515.59, 289,132.53 and 114,022.28 is: 157,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,515.59 : 289,132.53 = 114,022.28 : x
  2. Step 2: Convert to fraction form
    209,515.59/289,132.53 = 114,022.28/x
  3. Step 3: Cross multiply
    209,515.59x = 289,132.53 × 114,022.28
  4. Step 4: Simplify right side
    209,515.59x = 32,967,550,292.77
  5. Step 5: Solve for x
    x = 32,967,550,292.77/209,515.59
  6. Step 6: Final answer
    x = 157,351.30

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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.