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Finding the Fourth Proportional to 256,168.94, 353,511.78 and 148,765.38

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Solution

The fourth proportional to 256,168.94, 353,511.78 and 148,765.38 is: 205,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,168.94 : 353,511.78 = 148,765.38 : x
  2. Step 2: Convert to fraction form
    256,168.94/353,511.78 = 148,765.38/x
  3. Step 3: Cross multiply
    256,168.94x = 353,511.78 × 148,765.38
  4. Step 4: Simplify right side
    256,168.94x = 52,590,314,286.18
  5. Step 5: Solve for x
    x = 52,590,314,286.18/256,168.94
  6. Step 6: Final answer
    x = 205,295.44

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1.5x scale

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.