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Finding the Fourth Proportional to 251,511.84, 347,082.64 and 138,327.84

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Solution

The fourth proportional to 251,511.84, 347,082.64 and 138,327.84 is: 190,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,511.84 : 347,082.64 = 138,327.84 : x
  2. Step 2: Convert to fraction form
    251,511.84/347,082.64 = 138,327.84/x
  3. Step 3: Cross multiply
    251,511.84x = 347,082.64 × 138,327.84
  4. Step 4: Simplify right side
    251,511.84x = 48,011,191,892.70
  5. Step 5: Solve for x
    x = 48,011,191,892.70/251,511.84
  6. Step 6: Final answer
    x = 190,890.38

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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.