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Finding the Fourth Proportional to 252,734.45, 348,774.26 and 138,014.15

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Solution

The fourth proportional to 252,734.45, 348,774.26 and 138,014.15 is: 190,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,734.45 : 348,774.26 = 138,014.15 : x
  2. Step 2: Convert to fraction form
    252,734.45/348,774.26 = 138,014.15/x
  3. Step 3: Cross multiply
    252,734.45x = 348,774.26 × 138,014.15
  4. Step 4: Simplify right side
    252,734.45x = 48,135,780,601.84
  5. Step 5: Solve for x
    x = 48,135,780,601.84/252,734.45
  6. Step 6: Final answer
    x = 190,459.91

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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.