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Finding the Fourth Proportional to 138,333.39, 190,498.08 and 120,175.83

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Solution

The fourth proportional to 138,333.39, 190,498.08 and 120,175.83 is: 165,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,333.39 : 190,498.08 = 120,175.83 : x
  2. Step 2: Convert to fraction form
    138,333.39/190,498.08 = 120,175.83/x
  3. Step 3: Cross multiply
    138,333.39x = 190,498.08 × 120,175.83
  4. Step 4: Simplify right side
    138,333.39x = 22,893,263,924.92
  5. Step 5: Solve for x
    x = 22,893,263,924.92/138,333.39
  6. Step 6: Final answer
    x = 165,493.41

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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.