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Finding the Fourth Proportional to 256,137.61, 353,461.30 and 141,414.34

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Solution

The fourth proportional to 256,137.61, 353,461.30 and 141,414.34 is: 195,147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,137.61 : 353,461.30 = 141,414.34 : x
  2. Step 2: Convert to fraction form
    256,137.61/353,461.30 = 141,414.34/x
  3. Step 3: Cross multiply
    256,137.61x = 353,461.30 × 141,414.34
  4. Step 4: Simplify right side
    256,137.61x = 49,984,496,455.04
  5. Step 5: Solve for x
    x = 49,984,496,455.04/256,137.61
  6. Step 6: Final answer
    x = 195,147.04

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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.