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Finding the Fourth Proportional to 256,578.10, 384,830.70 and 88,106.20

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Solution

The fourth proportional to 256,578.10, 384,830.70 and 88,106.20 is: 132,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,578.10 : 384,830.70 = 88,106.20 : x
  2. Step 2: Convert to fraction form
    256,578.10/384,830.70 = 88,106.20/x
  3. Step 3: Cross multiply
    256,578.10x = 384,830.70 × 88,106.20
  4. Step 4: Simplify right side
    256,578.10x = 33,905,970,620.34
  5. Step 5: Solve for x
    x = 33,905,970,620.34/256,578.10
  6. Step 6: Final answer
    x = 132,146.78

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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.