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Finding the Fourth Proportional to 251,452.48, 347,006.88 and 138,276

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Solution

The fourth proportional to 251,452.48, 347,006.88 and 138,276 is: 190,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,452.48 : 347,006.88 = 138,276 : x
  2. Step 2: Convert to fraction form
    251,452.48/347,006.88 = 138,276/x
  3. Step 3: Cross multiply
    251,452.48x = 347,006.88 × 138,276
  4. Step 4: Simplify right side
    251,452.48x = 47,982,723,338.88
  5. Step 5: Solve for x
    x = 47,982,723,338.88/251,452.48
  6. Step 6: Final answer
    x = 190,822.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.