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Finding the Fourth Proportional to 251,771.12, 347,444.16 and 138,593

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Solution

The fourth proportional to 251,771.12, 347,444.16 and 138,593 is: 191,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,771.12 : 347,444.16 = 138,593 : x
  2. Step 2: Convert to fraction form
    251,771.12/347,444.16 = 138,593/x
  3. Step 3: Cross multiply
    251,771.12x = 347,444.16 × 138,593
  4. Step 4: Simplify right side
    251,771.12x = 48,153,328,466.88
  5. Step 5: Solve for x
    x = 48,153,328,466.88/251,771.12
  6. Step 6: Final answer
    x = 191,258.35

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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.