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Finding the Fourth Proportional to 138,806.36, 191,553.21 and 75,144.01

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Solution

The fourth proportional to 138,806.36, 191,553.21 and 75,144.01 is: 103,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,806.36 : 191,553.21 = 75,144.01 : x
  2. Step 2: Convert to fraction form
    138,806.36/191,553.21 = 75,144.01/x
  3. Step 3: Cross multiply
    138,806.36x = 191,553.21 × 75,144.01
  4. Step 4: Simplify right side
    138,806.36x = 14,394,075,276.08
  5. Step 5: Solve for x
    x = 14,394,075,276.08/138,806.36
  6. Step 6: Final answer
    x = 103,698.96

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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.