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Finding the Fourth Proportional to 230,676.56, 345,848.70 and 141,746.30

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Solution

The fourth proportional to 230,676.56, 345,848.70 and 141,746.30 is: 212,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,676.56 : 345,848.70 = 141,746.30 : x
  2. Step 2: Convert to fraction form
    230,676.56/345,848.70 = 141,746.30/x
  3. Step 3: Cross multiply
    230,676.56x = 345,848.70 × 141,746.30
  4. Step 4: Simplify right side
    230,676.56x = 49,022,773,584.81
  5. Step 5: Solve for x
    x = 49,022,773,584.81/230,676.56
  6. Step 6: Final answer
    x = 212,517.36

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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.