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Finding the Fourth Proportional to 256,525.32, 354,004.38 and 143,348.08

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Solution

The fourth proportional to 256,525.32, 354,004.38 and 143,348.08 is: 197,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,525.32 : 354,004.38 = 143,348.08 : x
  2. Step 2: Convert to fraction form
    256,525.32/354,004.38 = 143,348.08/x
  3. Step 3: Cross multiply
    256,525.32x = 354,004.38 × 143,348.08
  4. Step 4: Simplify right side
    256,525.32x = 50,745,848,184.59
  5. Step 5: Solve for x
    x = 50,745,848,184.59/256,525.32
  6. Step 6: Final answer
    x = 197,820.04

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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.