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Finding the Fourth Proportional to 155,754.34, 214,940.86 and 84,134.34

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Solution

The fourth proportional to 155,754.34, 214,940.86 and 84,134.34 is: 116,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,754.34 : 214,940.86 = 84,134.34 : x
  2. Step 2: Convert to fraction form
    155,754.34/214,940.86 = 84,134.34/x
  3. Step 3: Cross multiply
    155,754.34x = 214,940.86 × 84,134.34
  4. Step 4: Simplify right side
    155,754.34x = 18,083,907,184.80
  5. Step 5: Solve for x
    x = 18,083,907,184.80/155,754.34
  6. Step 6: Final answer
    x = 116,105.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.