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Finding the Fourth Proportional to 256,649.84, 384,878.88 and 88,122.32

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Solution

The fourth proportional to 256,649.84, 384,878.88 and 88,122.32 is: 132,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,649.84 : 384,878.88 = 88,122.32 : x
  2. Step 2: Convert to fraction form
    256,649.84/384,878.88 = 88,122.32/x
  3. Step 3: Cross multiply
    256,649.84x = 384,878.88 × 88,122.32
  4. Step 4: Simplify right side
    256,649.84x = 33,916,419,824.60
  5. Step 5: Solve for x
    x = 33,916,419,824.60/256,649.84
  6. Step 6: Final answer
    x = 132,150.56

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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.