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Finding the Fourth Proportional to 214,029.33, 320,748.74 and 161,380.95

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Solution

The fourth proportional to 214,029.33, 320,748.74 and 161,380.95 is: 241,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,029.33 : 320,748.74 = 161,380.95 : x
  2. Step 2: Convert to fraction form
    214,029.33/320,748.74 = 161,380.95/x
  3. Step 3: Cross multiply
    214,029.33x = 320,748.74 × 161,380.95
  4. Step 4: Simplify right side
    214,029.33x = 51,762,736,372.50
  5. Step 5: Solve for x
    x = 51,762,736,372.50/214,029.33
  6. Step 6: Final answer
    x = 241,848.80

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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.