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Finding the Fourth Proportional to 125,584.46, 188,450.13 and 46,754.54

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Solution

The fourth proportional to 125,584.46, 188,450.13 and 46,754.54 is: 70,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,584.46 : 188,450.13 = 46,754.54 : x
  2. Step 2: Convert to fraction form
    125,584.46/188,450.13 = 46,754.54/x
  3. Step 3: Cross multiply
    125,584.46x = 188,450.13 × 46,754.54
  4. Step 4: Simplify right side
    125,584.46x = 8,810,899,141.09
  5. Step 5: Solve for x
    x = 8,810,899,141.09/125,584.46
  6. Step 6: Final answer
    x = 70,159.15

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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.