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Finding the Fourth Proportional to 256,504, 353,975.52 and 143,326.76

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Solution

The fourth proportional to 256,504, 353,975.52 and 143,326.76 is: 197,790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,504 : 353,975.52 = 143,326.76 : x
  2. Step 2: Convert to fraction form
    256,504/353,975.52 = 143,326.76/x
  3. Step 3: Cross multiply
    256,504x = 353,975.52 × 143,326.76
  4. Step 4: Simplify right side
    256,504x = 50,734,164,400.92
  5. Step 5: Solve for x
    x = 50,734,164,400.92/256,504
  6. Step 6: Final answer
    x = 197,790.93

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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.