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Finding the Fourth Proportional to 230,540.44, 345,727.48 and 97,431

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Solution

The fourth proportional to 230,540.44, 345,727.48 and 97,431 is: 146,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,540.44 : 345,727.48 = 97,431 : x
  2. Step 2: Convert to fraction form
    230,540.44/345,727.48 = 97,431/x
  3. Step 3: Cross multiply
    230,540.44x = 345,727.48 × 97,431
  4. Step 4: Simplify right side
    230,540.44x = 33,684,574,103.88
  5. Step 5: Solve for x
    x = 33,684,574,103.88/230,540.44
  6. Step 6: Final answer
    x = 146,111.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.