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Finding the Fourth Proportional to 144,758.58, 217,084.56 and 49,964.64

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Solution

The fourth proportional to 144,758.58, 217,084.56 and 49,964.64 is: 74,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,758.58 : 217,084.56 = 49,964.64 : x
  2. Step 2: Convert to fraction form
    144,758.58/217,084.56 = 49,964.64/x
  3. Step 3: Cross multiply
    144,758.58x = 217,084.56 × 49,964.64
  4. Step 4: Simplify right side
    144,758.58x = 10,846,551,889.96
  5. Step 5: Solve for x
    x = 10,846,551,889.96/144,758.58
  6. Step 6: Final answer
    x = 74,928.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.