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Finding the Fourth Proportional to 230,038.41, 345,112.98 and 96,956.73

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Solution

The fourth proportional to 230,038.41, 345,112.98 and 96,956.73 is: 145,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,038.41 : 345,112.98 = 96,956.73 : x
  2. Step 2: Convert to fraction form
    230,038.41/345,112.98 = 96,956.73/x
  3. Step 3: Cross multiply
    230,038.41x = 345,112.98 × 96,956.73
  4. Step 4: Simplify right side
    230,038.41x = 33,461,026,021.36
  5. Step 5: Solve for x
    x = 33,461,026,021.36/230,038.41
  6. Step 6: Final answer
    x = 145,458.43

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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.