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Finding the Fourth Proportional to 214,714.89, 322,140.38 and 167,491.89

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Solution

The fourth proportional to 214,714.89, 322,140.38 and 167,491.89 is: 251,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,714.89 : 322,140.38 = 167,491.89 : x
  2. Step 2: Convert to fraction form
    214,714.89/322,140.38 = 167,491.89/x
  3. Step 3: Cross multiply
    214,714.89x = 322,140.38 × 167,491.89
  4. Step 4: Simplify right side
    214,714.89x = 53,955,900,254.06
  5. Step 5: Solve for x
    x = 53,955,900,254.06/214,714.89
  6. Step 6: Final answer
    x = 251,290.91

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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.