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Finding the Fourth Proportional to 153,381.44, 211,633.85 and 96,760

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Solution

The fourth proportional to 153,381.44, 211,633.85 and 96,760 is: 133,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,381.44 : 211,633.85 = 96,760 : x
  2. Step 2: Convert to fraction form
    153,381.44/211,633.85 = 96,760/x
  3. Step 3: Cross multiply
    153,381.44x = 211,633.85 × 96,760
  4. Step 4: Simplify right side
    153,381.44x = 20,477,691,326
  5. Step 5: Solve for x
    x = 20,477,691,326/153,381.44
  6. Step 6: Final answer
    x = 133,508.27

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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.