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Finding the Fourth Proportional to 256,959.20, 354,599.40 and 142,235.38

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Solution

The fourth proportional to 256,959.20, 354,599.40 and 142,235.38 is: 196,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,959.20 : 354,599.40 = 142,235.38 : x
  2. Step 2: Convert to fraction form
    256,959.20/354,599.40 = 142,235.38/x
  3. Step 3: Cross multiply
    256,959.20x = 354,599.40 × 142,235.38
  4. Step 4: Simplify right side
    256,959.20x = 50,436,580,406.77
  5. Step 5: Solve for x
    x = 50,436,580,406.77/256,959.20
  6. Step 6: Final answer
    x = 196,282.45

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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.