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Finding the Fourth Proportional to 256,505.55, 353,966.60 and 141,778.23

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Solution

The fourth proportional to 256,505.55, 353,966.60 and 141,778.23 is: 195,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,505.55 : 353,966.60 = 141,778.23 : x
  2. Step 2: Convert to fraction form
    256,505.55/353,966.60 = 141,778.23/x
  3. Step 3: Cross multiply
    256,505.55x = 353,966.60 × 141,778.23
  4. Step 4: Simplify right side
    256,505.55x = 50,184,757,318.23
  5. Step 5: Solve for x
    x = 50,184,757,318.23/256,505.55
  6. Step 6: Final answer
    x = 195,647.84

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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.