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Finding the Fourth Proportional to 229,534.72, 316,738.56 and 140,093.44

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Solution

The fourth proportional to 229,534.72, 316,738.56 and 140,093.44 is: 193,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,534.72 : 316,738.56 = 140,093.44 : x
  2. Step 2: Convert to fraction form
    229,534.72/316,738.56 = 140,093.44/x
  3. Step 3: Cross multiply
    229,534.72x = 316,738.56 × 140,093.44
  4. Step 4: Simplify right side
    229,534.72x = 44,372,994,451.05
  5. Step 5: Solve for x
    x = 44,372,994,451.05/229,534.72
  6. Step 6: Final answer
    x = 193,317.13

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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.