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Finding the Fourth Proportional to 251,702.36, 347,357.14 and 142,811.29

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Solution

The fourth proportional to 251,702.36, 347,357.14 and 142,811.29 is: 197,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,702.36 : 347,357.14 = 142,811.29 : x
  2. Step 2: Convert to fraction form
    251,702.36/347,357.14 = 142,811.29/x
  3. Step 3: Cross multiply
    251,702.36x = 347,357.14 × 142,811.29
  4. Step 4: Simplify right side
    251,702.36x = 49,606,520,540.05
  5. Step 5: Solve for x
    x = 49,606,520,540.05/251,702.36
  6. Step 6: Final answer
    x = 197,084.05

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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.