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Finding the Fourth Proportional to 256,597.10, 384,859.20 and 88,125.20

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Solution

The fourth proportional to 256,597.10, 384,859.20 and 88,125.20 is: 132,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,597.10 : 384,859.20 = 88,125.20 : x
  2. Step 2: Convert to fraction form
    256,597.10/384,859.20 = 88,125.20/x
  3. Step 3: Cross multiply
    256,597.10x = 384,859.20 × 88,125.20
  4. Step 4: Simplify right side
    256,597.10x = 33,915,793,971.84
  5. Step 5: Solve for x
    x = 33,915,793,971.84/256,597.10
  6. Step 6: Final answer
    x = 132,175.28

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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.