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Finding the Fourth Proportional to 138,811.54, 191,560 and 75,149.36

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Solution

The fourth proportional to 138,811.54, 191,560 and 75,149.36 is: 103,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,811.54 : 191,560 = 75,149.36 : x
  2. Step 2: Convert to fraction form
    138,811.54/191,560 = 75,149.36/x
  3. Step 3: Cross multiply
    138,811.54x = 191,560 × 75,149.36
  4. Step 4: Simplify right side
    138,811.54x = 14,395,611,401.60
  5. Step 5: Solve for x
    x = 14,395,611,401.60/138,811.54
  6. Step 6: Final answer
    x = 103,706.16

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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.