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Finding the Fourth Proportional to 251,524.88, 347,097.36 and 138,347.84

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Solution

The fourth proportional to 251,524.88, 347,097.36 and 138,347.84 is: 190,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,524.88 : 347,097.36 = 138,347.84 : x
  2. Step 2: Convert to fraction form
    251,524.88/347,097.36 = 138,347.84/x
  3. Step 3: Cross multiply
    251,524.88x = 347,097.36 × 138,347.84
  4. Step 4: Simplify right side
    251,524.88x = 48,020,170,025.70
  5. Step 5: Solve for x
    x = 48,020,170,025.70/251,524.88
  6. Step 6: Final answer
    x = 190,916.18

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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.