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Finding the Fourth Proportional to 209,361.87, 314,165.88 and 76,250.16

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Solution

The fourth proportional to 209,361.87, 314,165.88 and 76,250.16 is: 114,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,361.87 : 314,165.88 = 76,250.16 : x
  2. Step 2: Convert to fraction form
    209,361.87/314,165.88 = 76,250.16/x
  3. Step 3: Cross multiply
    209,361.87x = 314,165.88 × 76,250.16
  4. Step 4: Simplify right side
    209,361.87x = 23,955,198,616.54
  5. Step 5: Solve for x
    x = 23,955,198,616.54/209,361.87
  6. Step 6: Final answer
    x = 114,420.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.