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Finding the Fourth Proportional to 251,530.56, 347,104.86 and 138,353.28

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Solution

The fourth proportional to 251,530.56, 347,104.86 and 138,353.28 is: 190,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,530.56 : 347,104.86 = 138,353.28 : x
  2. Step 2: Convert to fraction form
    251,530.56/347,104.86 = 138,353.28/x
  3. Step 3: Cross multiply
    251,530.56x = 347,104.86 × 138,353.28
  4. Step 4: Simplify right side
    251,530.56x = 48,023,095,884.94
  5. Step 5: Solve for x
    x = 48,023,095,884.94/251,530.56
  6. Step 6: Final answer
    x = 190,923.50

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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.