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Finding the Fourth Proportional to 256,482.25, 353,945.64 and 143,305

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Solution

The fourth proportional to 256,482.25, 353,945.64 and 143,305 is: 197,760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,482.25 : 353,945.64 = 143,305 : x
  2. Step 2: Convert to fraction form
    256,482.25/353,945.64 = 143,305/x
  3. Step 3: Cross multiply
    256,482.25x = 353,945.64 × 143,305
  4. Step 4: Simplify right side
    256,482.25x = 50,722,179,940.20
  5. Step 5: Solve for x
    x = 50,722,179,940.20/256,482.25
  6. Step 6: Final answer
    x = 197,760.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.