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Finding the Fourth Proportional to 114,192, 157,654.08 and 74,517.12

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Solution

The fourth proportional to 114,192, 157,654.08 and 74,517.12 is: 102,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,192 : 157,654.08 = 74,517.12 : x
  2. Step 2: Convert to fraction form
    114,192/157,654.08 = 74,517.12/x
  3. Step 3: Cross multiply
    114,192x = 157,654.08 × 74,517.12
  4. Step 4: Simplify right side
    114,192x = 11,747,927,997.85
  5. Step 5: Solve for x
    x = 11,747,927,997.85/114,192
  6. Step 6: Final answer
    x = 102,878.73

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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.