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Finding the Fourth Proportional to 127,905.88, 191,876.34 and 43,643.44

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Solution

The fourth proportional to 127,905.88, 191,876.34 and 43,643.44 is: 65,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,905.88 : 191,876.34 = 43,643.44 : x
  2. Step 2: Convert to fraction form
    127,905.88/191,876.34 = 43,643.44/x
  3. Step 3: Cross multiply
    127,905.88x = 191,876.34 × 43,643.44
  4. Step 4: Simplify right side
    127,905.88x = 8,374,143,532.21
  5. Step 5: Solve for x
    x = 8,374,143,532.21/127,905.88
  6. Step 6: Final answer
    x = 65,471.14

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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.