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Finding the Fourth Proportional to 129,642.40, 194,463.60 and 121,769.20

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Solution

The fourth proportional to 129,642.40, 194,463.60 and 121,769.20 is: 182,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,642.40 : 194,463.60 = 121,769.20 : x
  2. Step 2: Convert to fraction form
    129,642.40/194,463.60 = 121,769.20/x
  3. Step 3: Cross multiply
    129,642.40x = 194,463.60 × 121,769.20
  4. Step 4: Simplify right side
    129,642.40x = 23,679,677,001.12
  5. Step 5: Solve for x
    x = 23,679,677,001.12/129,642.40
  6. Step 6: Final answer
    x = 182,653.80

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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.