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Finding the Fourth Proportional to 274,102.65, 410,877.87 and 114,267.01

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Solution

The fourth proportional to 274,102.65, 410,877.87 and 114,267.01 is: 171,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,102.65 : 410,877.87 = 114,267.01 : x
  2. Step 2: Convert to fraction form
    274,102.65/410,877.87 = 114,267.01/x
  3. Step 3: Cross multiply
    274,102.65x = 410,877.87 × 114,267.01
  4. Step 4: Simplify right side
    274,102.65x = 46,949,785,680.07
  5. Step 5: Solve for x
    x = 46,949,785,680.07/274,102.65
  6. Step 6: Final answer
    x = 171,285.41

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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.