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Finding the Fourth Proportional to 256,613.22, 354,119.31 and 143,457.84

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Solution

The fourth proportional to 256,613.22, 354,119.31 and 143,457.84 is: 197,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,613.22 : 354,119.31 = 143,457.84 : x
  2. Step 2: Convert to fraction form
    256,613.22/354,119.31 = 143,457.84/x
  3. Step 3: Cross multiply
    256,613.22x = 354,119.31 × 143,457.84
  4. Step 4: Simplify right side
    256,613.22x = 50,801,191,314.89
  5. Step 5: Solve for x
    x = 50,801,191,314.89/256,613.22
  6. Step 6: Final answer
    x = 197,967.94

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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.