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Finding the Fourth Proportional to 138,809.39, 191,557.31 and 75,147.30

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Solution

The fourth proportional to 138,809.39, 191,557.31 and 75,147.30 is: 103,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,809.39 : 191,557.31 = 75,147.30 : x
  2. Step 2: Convert to fraction form
    138,809.39/191,557.31 = 75,147.30/x
  3. Step 3: Cross multiply
    138,809.39x = 191,557.31 × 75,147.30
  4. Step 4: Simplify right side
    138,809.39x = 14,395,014,266.03
  5. Step 5: Solve for x
    x = 14,395,014,266.03/138,809.39
  6. Step 6: Final answer
    x = 103,703.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.