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Finding the Fourth Proportional to 256,531.12, 354,010.32 and 143,353.86

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Solution

The fourth proportional to 256,531.12, 354,010.32 and 143,353.86 is: 197,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,531.12 : 354,010.32 = 143,353.86 : x
  2. Step 2: Convert to fraction form
    256,531.12/354,010.32 = 143,353.86/x
  3. Step 3: Cross multiply
    256,531.12x = 354,010.32 × 143,353.86
  4. Step 4: Simplify right side
    256,531.12x = 50,748,745,851.84
  5. Step 5: Solve for x
    x = 50,748,745,851.84/256,531.12
  6. Step 6: Final answer
    x = 197,826.86

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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.