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Finding the Fourth Proportional to 127,878.75, 191,845.82 and 48,992.98

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Solution

The fourth proportional to 127,878.75, 191,845.82 and 48,992.98 is: 73,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,878.75 : 191,845.82 = 48,992.98 : x
  2. Step 2: Convert to fraction form
    127,878.75/191,845.82 = 48,992.98/x
  3. Step 3: Cross multiply
    127,878.75x = 191,845.82 × 48,992.98
  4. Step 4: Simplify right side
    127,878.75x = 9,399,098,422.34
  5. Step 5: Solve for x
    x = 9,399,098,422.34/127,878.75
  6. Step 6: Final answer
    x = 73,500.08

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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.