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Finding the Fourth Proportional to 214,980.96, 322,470.42 and 55,056.58

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Solution

The fourth proportional to 214,980.96, 322,470.42 and 55,056.58 is: 82,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,980.96 : 322,470.42 = 55,056.58 : x
  2. Step 2: Convert to fraction form
    214,980.96/322,470.42 = 55,056.58/x
  3. Step 3: Cross multiply
    214,980.96x = 322,470.42 × 55,056.58
  4. Step 4: Simplify right side
    214,980.96x = 17,754,118,476.36
  5. Step 5: Solve for x
    x = 17,754,118,476.36/214,980.96
  6. Step 6: Final answer
    x = 82,584.61

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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.