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Finding the Fourth Proportional to 214,051.80, 320,732.10 and 135,024.60

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Solution

The fourth proportional to 214,051.80, 320,732.10 and 135,024.60 is: 202,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,051.80 : 320,732.10 = 135,024.60 : x
  2. Step 2: Convert to fraction form
    214,051.80/320,732.10 = 135,024.60/x
  3. Step 3: Cross multiply
    214,051.80x = 320,732.10 × 135,024.60
  4. Step 4: Simplify right side
    214,051.80x = 43,306,723,509.66
  5. Step 5: Solve for x
    x = 43,306,723,509.66/214,051.80
  6. Step 6: Final answer
    x = 202,318.89

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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.