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Finding the Fourth Proportional to 256,447.50, 353,891.07 and 143,271.06

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Solution

The fourth proportional to 256,447.50, 353,891.07 and 143,271.06 is: 197,710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,447.50 : 353,891.07 = 143,271.06 : x
  2. Step 2: Convert to fraction form
    256,447.50/353,891.07 = 143,271.06/x
  3. Step 3: Cross multiply
    256,447.50x = 353,891.07 × 143,271.06
  4. Step 4: Simplify right side
    256,447.50x = 50,702,348,723.43
  5. Step 5: Solve for x
    x = 50,702,348,723.43/256,447.50
  6. Step 6: Final answer
    x = 197,710.44

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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.