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Finding the Fourth Proportional to 214,197.18, 320,945.22 and 129,701.40

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Solution

The fourth proportional to 214,197.18, 320,945.22 and 129,701.40 is: 194,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,197.18 : 320,945.22 = 129,701.40 : x
  2. Step 2: Convert to fraction form
    214,197.18/320,945.22 = 129,701.40/x
  3. Step 3: Cross multiply
    214,197.18x = 320,945.22 × 129,701.40
  4. Step 4: Simplify right side
    214,197.18x = 41,627,044,357.31
  5. Step 5: Solve for x
    x = 41,627,044,357.31/214,197.18
  6. Step 6: Final answer
    x = 194,339.83

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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.