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Finding the Fourth Proportional to 146,514.30, 219,771.45 and 57,738.30

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Solution

The fourth proportional to 146,514.30, 219,771.45 and 57,738.30 is: 86,607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,514.30 : 219,771.45 = 57,738.30 : x
  2. Step 2: Convert to fraction form
    146,514.30/219,771.45 = 57,738.30/x
  3. Step 3: Cross multiply
    146,514.30x = 219,771.45 × 57,738.30
  4. Step 4: Simplify right side
    146,514.30x = 12,689,229,911.54
  5. Step 5: Solve for x
    x = 12,689,229,911.54/146,514.30
  6. Step 6: Final answer
    x = 86,607.45

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