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Finding the Fourth Proportional to 135,654.72, 187,205.76 and 75,228

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Solution

The fourth proportional to 135,654.72, 187,205.76 and 75,228 is: 103,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,654.72 : 187,205.76 = 75,228 : x
  2. Step 2: Convert to fraction form
    135,654.72/187,205.76 = 75,228/x
  3. Step 3: Cross multiply
    135,654.72x = 187,205.76 × 75,228
  4. Step 4: Simplify right side
    135,654.72x = 14,083,114,913.28
  5. Step 5: Solve for x
    x = 14,083,114,913.28/135,654.72
  6. Step 6: Final answer
    x = 103,815.89

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