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Finding the Fourth Proportional to 230,741.84, 318,300.36 and 159,157.28

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Solution

The fourth proportional to 230,741.84, 318,300.36 and 159,157.28 is: 219,551.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,741.84 : 318,300.36 = 159,157.28 : x
  2. Step 2: Convert to fraction form
    230,741.84/318,300.36 = 159,157.28/x
  3. Step 3: Cross multiply
    230,741.84x = 318,300.36 × 159,157.28
  4. Step 4: Simplify right side
    230,741.84x = 50,659,819,520.62
  5. Step 5: Solve for x
    x = 50,659,819,520.62/230,741.84
  6. Step 6: Final answer
    x = 219,551.94

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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.