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Finding the Fourth Proportional to 256,309.75, 353,710.43 and 141,586.02

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Solution

The fourth proportional to 256,309.75, 353,710.43 and 141,586.02 is: 195,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,309.75 : 353,710.43 = 141,586.02 : x
  2. Step 2: Convert to fraction form
    256,309.75/353,710.43 = 141,586.02/x
  3. Step 3: Cross multiply
    256,309.75x = 353,710.43 × 141,586.02
  4. Step 4: Simplify right side
    256,309.75x = 50,080,451,308.26
  5. Step 5: Solve for x
    x = 50,080,451,308.26/256,309.75
  6. Step 6: Final answer
    x = 195,390.35

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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.