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Finding the Fourth Proportional to 214,755.92, 296,367.88 and 119,261.20

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Solution

The fourth proportional to 214,755.92, 296,367.88 and 119,261.20 is: 164,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,755.92 : 296,367.88 = 119,261.20 : x
  2. Step 2: Convert to fraction form
    214,755.92/296,367.88 = 119,261.20/x
  3. Step 3: Cross multiply
    214,755.92x = 296,367.88 × 119,261.20
  4. Step 4: Simplify right side
    214,755.92x = 35,345,189,010.26
  5. Step 5: Solve for x
    x = 35,345,189,010.26/214,755.92
  6. Step 6: Final answer
    x = 164,583.07

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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.