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Finding the Fourth Proportional to 127,970.34, 191,955.49 and 43,731.23

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Solution

The fourth proportional to 127,970.34, 191,955.49 and 43,731.23 is: 65,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,970.34 : 191,955.49 = 43,731.23 : x
  2. Step 2: Convert to fraction form
    127,970.34/191,955.49 = 43,731.23/x
  3. Step 3: Cross multiply
    127,970.34x = 191,955.49 × 43,731.23
  4. Step 4: Simplify right side
    127,970.34x = 8,394,449,464.30
  5. Step 5: Solve for x
    x = 8,394,449,464.30/127,970.34
  6. Step 6: Final answer
    x = 65,596.84

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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.