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Finding the Fourth Proportional to 209,515.25, 289,125.51 and 114,019.90

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Solution

The fourth proportional to 209,515.25, 289,125.51 and 114,019.90 is: 157,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,515.25 : 289,125.51 = 114,019.90 : x
  2. Step 2: Convert to fraction form
    209,515.25/289,125.51 = 114,019.90/x
  3. Step 3: Cross multiply
    209,515.25x = 289,125.51 × 114,019.90
  4. Step 4: Simplify right side
    209,515.25x = 32,966,059,721.92
  5. Step 5: Solve for x
    x = 32,966,059,721.92/209,515.25
  6. Step 6: Final answer
    x = 157,344.44

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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.