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Finding the Fourth Proportional to 256,868.91, 354,479.40 and 142,152.30

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Solution

The fourth proportional to 256,868.91, 354,479.40 and 142,152.30 is: 196,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,868.91 : 354,479.40 = 142,152.30 : x
  2. Step 2: Convert to fraction form
    256,868.91/354,479.40 = 142,152.30/x
  3. Step 3: Cross multiply
    256,868.91x = 354,479.40 × 142,152.30
  4. Step 4: Simplify right side
    256,868.91x = 50,390,062,012.62
  5. Step 5: Solve for x
    x = 50,390,062,012.62/256,868.91
  6. Step 6: Final answer
    x = 196,170.34

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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.