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Finding the Fourth Proportional to 138,162.58, 190,663.41 and 78,546.58

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Solution

The fourth proportional to 138,162.58, 190,663.41 and 78,546.58 is: 108,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,162.58 : 190,663.41 = 78,546.58 : x
  2. Step 2: Convert to fraction form
    138,162.58/190,663.41 = 78,546.58/x
  3. Step 3: Cross multiply
    138,162.58x = 190,663.41 × 78,546.58
  4. Step 4: Simplify right side
    138,162.58x = 14,975,958,786.64
  5. Step 5: Solve for x
    x = 14,975,958,786.64/138,162.58
  6. Step 6: Final answer
    x = 108,393.74

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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.