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Finding the Fourth Proportional to 214,824.80, 322,237.20 and 165,672.80

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Solution

The fourth proportional to 214,824.80, 322,237.20 and 165,672.80 is: 248,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,824.80 : 322,237.20 = 165,672.80 : x
  2. Step 2: Convert to fraction form
    214,824.80/322,237.20 = 165,672.80/x
  3. Step 3: Cross multiply
    214,824.80x = 322,237.20 × 165,672.80
  4. Step 4: Simplify right side
    214,824.80x = 53,385,939,188.16
  5. Step 5: Solve for x
    x = 53,385,939,188.16/214,824.80
  6. Step 6: Final answer
    x = 248,509.20

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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.