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Finding the Fourth Proportional to 251,602.96, 347,207.16 and 138,427.60

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Solution

The fourth proportional to 251,602.96, 347,207.16 and 138,427.60 is: 191,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,602.96 : 347,207.16 = 138,427.60 : x
  2. Step 2: Convert to fraction form
    251,602.96/347,207.16 = 138,427.60/x
  3. Step 3: Cross multiply
    251,602.96x = 347,207.16 × 138,427.60
  4. Step 4: Simplify right side
    251,602.96x = 48,063,053,861.62
  5. Step 5: Solve for x
    x = 48,063,053,861.62/251,602.96
  6. Step 6: Final answer
    x = 191,027.38

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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.