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Finding the Fourth Proportional to 256,296.97, 353,688.40 and 141,583.49

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Solution

The fourth proportional to 256,296.97, 353,688.40 and 141,583.49 is: 195,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,296.97 : 353,688.40 = 141,583.49 : x
  2. Step 2: Convert to fraction form
    256,296.97/353,688.40 = 141,583.49/x
  3. Step 3: Cross multiply
    256,296.97x = 353,688.40 × 141,583.49
  4. Step 4: Simplify right side
    256,296.97x = 50,076,435,922.12
  5. Step 5: Solve for x
    x = 50,076,435,922.12/256,296.97
  6. Step 6: Final answer
    x = 195,384.43

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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.