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Finding the Fourth Proportional to 214,196.40, 320,986.80 and 120,504.24

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Solution

The fourth proportional to 214,196.40, 320,986.80 and 120,504.24 is: 180,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,196.40 : 320,986.80 = 120,504.24 : x
  2. Step 2: Convert to fraction form
    214,196.40/320,986.80 = 120,504.24/x
  3. Step 3: Cross multiply
    214,196.40x = 320,986.80 × 120,504.24
  4. Step 4: Simplify right side
    214,196.40x = 38,680,270,384.03
  5. Step 5: Solve for x
    x = 38,680,270,384.03/214,196.40
  6. Step 6: Final answer
    x = 180,583.20

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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.