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Finding the Fourth Proportional to 135,093.15, 186,415.61 and 74,654.01

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Solution

The fourth proportional to 135,093.15, 186,415.61 and 74,654.01 is: 103,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,093.15 : 186,415.61 = 74,654.01 : x
  2. Step 2: Convert to fraction form
    135,093.15/186,415.61 = 74,654.01/x
  3. Step 3: Cross multiply
    135,093.15x = 186,415.61 × 74,654.01
  4. Step 4: Simplify right side
    135,093.15x = 13,916,672,439.83
  5. Step 5: Solve for x
    x = 13,916,672,439.83/135,093.15
  6. Step 6: Final answer
    x = 103,015.38

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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.