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Finding the Fourth Proportional to 114,256.89, 157,676.13 and 65,832.09

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Solution

The fourth proportional to 114,256.89, 157,676.13 and 65,832.09 is: 90,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,256.89 : 157,676.13 = 65,832.09 : x
  2. Step 2: Convert to fraction form
    114,256.89/157,676.13 = 65,832.09/x
  3. Step 3: Cross multiply
    114,256.89x = 157,676.13 × 65,832.09
  4. Step 4: Simplify right side
    114,256.89x = 10,380,149,181.01
  5. Step 5: Solve for x
    x = 10,380,149,181.01/114,256.89
  6. Step 6: Final answer
    x = 90,849.22

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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.