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Finding the Fourth Proportional to 257,129.82, 354,721.32 and 166,514.99

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Solution

The fourth proportional to 257,129.82, 354,721.32 and 166,514.99 is: 229,714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,129.82 : 354,721.32 = 166,514.99 : x
  2. Step 2: Convert to fraction form
    257,129.82/354,721.32 = 166,514.99/x
  3. Step 3: Cross multiply
    257,129.82x = 354,721.32 × 166,514.99
  4. Step 4: Simplify right side
    257,129.82x = 59,066,415,278.98
  5. Step 5: Solve for x
    x = 59,066,415,278.98/257,129.82
  6. Step 6: Final answer
    x = 229,714.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.