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Finding the Fourth Proportional to 146,546.66, 219,672.30 and 57,765.80

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Solution

The fourth proportional to 146,546.66, 219,672.30 and 57,765.80 is: 86,590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,546.66 : 219,672.30 = 57,765.80 : x
  2. Step 2: Convert to fraction form
    146,546.66/219,672.30 = 57,765.80/x
  3. Step 3: Cross multiply
    146,546.66x = 219,672.30 × 57,765.80
  4. Step 4: Simplify right side
    146,546.66x = 12,689,546,147.34
  5. Step 5: Solve for x
    x = 12,689,546,147.34/146,546.66
  6. Step 6: Final answer
    x = 86,590.48

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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.