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Finding the Fourth Proportional to 146,506.42, 219,796.49 and 67,676.41

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Solution

The fourth proportional to 146,506.42, 219,796.49 and 67,676.41 is: 101,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,506.42 : 219,796.49 = 67,676.41 : x
  2. Step 2: Convert to fraction form
    146,506.42/219,796.49 = 67,676.41/x
  3. Step 3: Cross multiply
    146,506.42x = 219,796.49 × 67,676.41
  4. Step 4: Simplify right side
    146,506.42x = 14,875,037,437.06
  5. Step 5: Solve for x
    x = 14,875,037,437.06/146,506.42
  6. Step 6: Final answer
    x = 101,531.64

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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.