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Finding the Fourth Proportional to 138,647.60, 191,333.69 and 74,985.38

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Solution

The fourth proportional to 138,647.60, 191,333.69 and 74,985.38 is: 103,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,647.60 : 191,333.69 = 74,985.38 : x
  2. Step 2: Convert to fraction form
    138,647.60/191,333.69 = 74,985.38/x
  3. Step 3: Cross multiply
    138,647.60x = 191,333.69 × 74,985.38
  4. Step 4: Simplify right side
    138,647.60x = 14,347,229,540.35
  5. Step 5: Solve for x
    x = 14,347,229,540.35/138,647.60
  6. Step 6: Final answer
    x = 103,479.83

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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.