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Finding the Fourth Proportional to 214,714.80, 322,013.88 and 179,402.04

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Solution

The fourth proportional to 214,714.80, 322,013.88 and 179,402.04 is: 269,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,714.80 : 322,013.88 = 179,402.04 : x
  2. Step 2: Convert to fraction form
    214,714.80/322,013.88 = 179,402.04/x
  3. Step 3: Cross multiply
    214,714.80x = 322,013.88 × 179,402.04
  4. Step 4: Simplify right side
    214,714.80x = 57,769,946,980.32
  5. Step 5: Solve for x
    x = 57,769,946,980.32/214,714.80
  6. Step 6: Final answer
    x = 269,054.33

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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.