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Finding the Fourth Proportional to 256,094.94, 384,338.43 and 115,951.98

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Solution

The fourth proportional to 256,094.94, 384,338.43 and 115,951.98 is: 174,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,094.94 : 384,338.43 = 115,951.98 : x
  2. Step 2: Convert to fraction form
    256,094.94/384,338.43 = 115,951.98/x
  3. Step 3: Cross multiply
    256,094.94x = 384,338.43 × 115,951.98
  4. Step 4: Simplify right side
    256,094.94x = 44,564,801,948.59
  5. Step 5: Solve for x
    x = 44,564,801,948.59/256,094.94
  6. Step 6: Final answer
    x = 174,016.72

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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.