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Finding the Fourth Proportional to 274,100.15, 410,874.12 and 114,264.51

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Solution

The fourth proportional to 274,100.15, 410,874.12 and 114,264.51 is: 171,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,100.15 : 410,874.12 = 114,264.51 : x
  2. Step 2: Convert to fraction form
    274,100.15/410,874.12 = 114,264.51/x
  3. Step 3: Cross multiply
    274,100.15x = 410,874.12 × 114,264.51
  4. Step 4: Simplify right side
    274,100.15x = 46,948,329,993.48
  5. Step 5: Solve for x
    x = 46,948,329,993.48/274,100.15
  6. Step 6: Final answer
    x = 171,281.67

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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.