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Finding the Fourth Proportional to 214,892.80, 322,479.06 and 81,774.16

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Solution

The fourth proportional to 214,892.80, 322,479.06 and 81,774.16 is: 122,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,892.80 : 322,479.06 = 81,774.16 : x
  2. Step 2: Convert to fraction form
    214,892.80/322,479.06 = 81,774.16/x
  3. Step 3: Cross multiply
    214,892.80x = 322,479.06 × 81,774.16
  4. Step 4: Simplify right side
    214,892.80x = 26,370,454,249.09
  5. Step 5: Solve for x
    x = 26,370,454,249.09/214,892.80
  6. Step 6: Final answer
    x = 122,714.46

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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.