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Finding the Fourth Proportional to 254,714.82, 351,397.44 and 159,055.44

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Solution

The fourth proportional to 254,714.82, 351,397.44 and 159,055.44 is: 219,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,714.82 : 351,397.44 = 159,055.44 : x
  2. Step 2: Convert to fraction form
    254,714.82/351,397.44 = 159,055.44/x
  3. Step 3: Cross multiply
    254,714.82x = 351,397.44 × 159,055.44
  4. Step 4: Simplify right side
    254,714.82x = 55,891,674,434.07
  5. Step 5: Solve for x
    x = 55,891,674,434.07/254,714.82
  6. Step 6: Final answer
    x = 219,428.44

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Why These Related Problems?

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