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Finding the Fourth Proportional to 274,101.65, 410,876.37 and 114,266.01

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Solution

The fourth proportional to 274,101.65, 410,876.37 and 114,266.01 is: 171,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,101.65 : 410,876.37 = 114,266.01 : x
  2. Step 2: Convert to fraction form
    274,101.65/410,876.37 = 114,266.01/x
  3. Step 3: Cross multiply
    274,101.65x = 410,876.37 × 114,266.01
  4. Step 4: Simplify right side
    274,101.65x = 46,949,203,403.18
  5. Step 5: Solve for x
    x = 46,949,203,403.18/274,101.65
  6. Step 6: Final answer
    x = 171,283.92

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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.