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Finding the Fourth Proportional to 192,877.44, 266,294.64 and 132,428.64

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Solution

The fourth proportional to 192,877.44, 266,294.64 and 132,428.64 is: 182,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,877.44 : 266,294.64 = 132,428.64 : x
  2. Step 2: Convert to fraction form
    192,877.44/266,294.64 = 132,428.64/x
  3. Step 3: Cross multiply
    192,877.44x = 266,294.64 × 132,428.64
  4. Step 4: Simplify right side
    192,877.44x = 35,265,037,014.49
  5. Step 5: Solve for x
    x = 35,265,037,014.49/192,877.44
  6. Step 6: Final answer
    x = 182,836.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.