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Finding the Fourth Proportional to 256,645.84, 384,872.88 and 88,118.32

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Solution

The fourth proportional to 256,645.84, 384,872.88 and 88,118.32 is: 132,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,645.84 : 384,872.88 = 88,118.32 : x
  2. Step 2: Convert to fraction form
    256,645.84/384,872.88 = 88,118.32/x
  3. Step 3: Cross multiply
    256,645.84x = 384,872.88 × 88,118.32
  4. Step 4: Simplify right side
    256,645.84x = 33,914,351,599.16
  5. Step 5: Solve for x
    x = 33,914,351,599.16/256,645.84
  6. Step 6: Final answer
    x = 132,144.56

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1.5x scale

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.