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Finding the Fourth Proportional to 187,056.94, 280,326.78 and 162,034.96

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Solution

The fourth proportional to 187,056.94, 280,326.78 and 162,034.96 is: 242,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,056.94 : 280,326.78 = 162,034.96 : x
  2. Step 2: Convert to fraction form
    187,056.94/280,326.78 = 162,034.96/x
  3. Step 3: Cross multiply
    187,056.94x = 280,326.78 × 162,034.96
  4. Step 4: Simplify right side
    187,056.94x = 45,422,738,584.23
  5. Step 5: Solve for x
    x = 45,422,738,584.23/187,056.94
  6. Step 6: Final answer
    x = 242,828.41

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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.