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Finding the Fourth Proportional to 214,295.64, 320,497.38 and 129,822.36

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Solution

The fourth proportional to 214,295.64, 320,497.38 and 129,822.36 is: 194,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,295.64 : 320,497.38 = 129,822.36 : x
  2. Step 2: Convert to fraction form
    214,295.64/320,497.38 = 129,822.36/x
  3. Step 3: Cross multiply
    214,295.64x = 320,497.38 × 129,822.36
  4. Step 4: Simplify right side
    214,295.64x = 41,607,726,245.42
  5. Step 5: Solve for x
    x = 41,607,726,245.42/214,295.64
  6. Step 6: Final answer
    x = 194,160.40

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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.