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Finding the Fourth Proportional to 133,042.48, 199,505.52 and 49,878.16

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Solution

The fourth proportional to 133,042.48, 199,505.52 and 49,878.16 is: 74,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,042.48 : 199,505.52 = 49,878.16 : x
  2. Step 2: Convert to fraction form
    133,042.48/199,505.52 = 49,878.16/x
  3. Step 3: Cross multiply
    133,042.48x = 199,505.52 × 49,878.16
  4. Step 4: Simplify right side
    133,042.48x = 9,950,968,247.44
  5. Step 5: Solve for x
    x = 9,950,968,247.44/133,042.48
  6. Step 6: Final answer
    x = 74,795.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.