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Finding the Fourth Proportional to 214,753.48, 322,129.80 and 54,829.36

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Solution

The fourth proportional to 214,753.48, 322,129.80 and 54,829.36 is: 82,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,753.48 : 322,129.80 = 54,829.36 : x
  2. Step 2: Convert to fraction form
    214,753.48/322,129.80 = 54,829.36/x
  3. Step 3: Cross multiply
    214,753.48x = 322,129.80 × 54,829.36
  4. Step 4: Simplify right side
    214,753.48x = 17,662,170,770.93
  5. Step 5: Solve for x
    x = 17,662,170,770.93/214,753.48
  6. Step 6: Final answer
    x = 82,243.93

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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.