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Finding the Fourth Proportional to 135,056.56, 186,377.34 and 74,631.38

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Solution

The fourth proportional to 135,056.56, 186,377.34 and 74,631.38 is: 102,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,056.56 : 186,377.34 = 74,631.38 : x
  2. Step 2: Convert to fraction form
    135,056.56/186,377.34 = 74,631.38/x
  3. Step 3: Cross multiply
    135,056.56x = 186,377.34 × 74,631.38
  4. Step 4: Simplify right side
    135,056.56x = 13,909,598,084.93
  5. Step 5: Solve for x
    x = 13,909,598,084.93/135,056.56
  6. Step 6: Final answer
    x = 102,990.91

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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.