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Finding the Fourth Proportional to 214,835.84, 322,288.32 and 90,212.48

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Solution

The fourth proportional to 214,835.84, 322,288.32 and 90,212.48 is: 135,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,835.84 : 322,288.32 = 90,212.48 : x
  2. Step 2: Convert to fraction form
    214,835.84/322,288.32 = 90,212.48/x
  3. Step 3: Cross multiply
    214,835.84x = 322,288.32 × 90,212.48
  4. Step 4: Simplify right side
    214,835.84x = 29,074,428,622.23
  5. Step 5: Solve for x
    x = 29,074,428,622.23/214,835.84
  6. Step 6: Final answer
    x = 135,333.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.