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Finding the Fourth Proportional to 138,342.45, 190,910.01 and 75,406.38

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Solution

The fourth proportional to 138,342.45, 190,910.01 and 75,406.38 is: 104,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,342.45 : 190,910.01 = 75,406.38 : x
  2. Step 2: Convert to fraction form
    138,342.45/190,910.01 = 75,406.38/x
  3. Step 3: Cross multiply
    138,342.45x = 190,910.01 × 75,406.38
  4. Step 4: Simplify right side
    138,342.45x = 14,395,832,119.13
  5. Step 5: Solve for x
    x = 14,395,832,119.13/138,342.45
  6. Step 6: Final answer
    x = 104,059.40

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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.