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Finding the Fourth Proportional to 251,592.68, 347,197.38 and 138,415.16

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Solution

The fourth proportional to 251,592.68, 347,197.38 and 138,415.16 is: 191,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,592.68 : 347,197.38 = 138,415.16 : x
  2. Step 2: Convert to fraction form
    251,592.68/347,197.38 = 138,415.16/x
  3. Step 3: Cross multiply
    251,592.68x = 347,197.38 × 138,415.16
  4. Step 4: Simplify right side
    251,592.68x = 48,057,380,904.28
  5. Step 5: Solve for x
    x = 48,057,380,904.28/251,592.68
  6. Step 6: Final answer
    x = 191,012.64

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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.