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Finding the Fourth Proportional to 256,220.48, 353,584.24 and 143,043.20

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Solution

The fourth proportional to 256,220.48, 353,584.24 and 143,043.20 is: 197,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,220.48 : 353,584.24 = 143,043.20 : x
  2. Step 2: Convert to fraction form
    256,220.48/353,584.24 = 143,043.20/x
  3. Step 3: Cross multiply
    256,220.48x = 353,584.24 × 143,043.20
  4. Step 4: Simplify right side
    256,220.48x = 50,577,821,159.17
  5. Step 5: Solve for x
    x = 50,577,821,159.17/256,220.48
  6. Step 6: Final answer
    x = 197,399.60

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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.