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Finding the Fourth Proportional to 251,378.14, 346,892.97 and 138,200.02

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Solution

The fourth proportional to 251,378.14, 346,892.97 and 138,200.02 is: 190,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,378.14 : 346,892.97 = 138,200.02 : x
  2. Step 2: Convert to fraction form
    251,378.14/346,892.97 = 138,200.02/x
  3. Step 3: Cross multiply
    251,378.14x = 346,892.97 × 138,200.02
  4. Step 4: Simplify right side
    251,378.14x = 47,940,615,391.86
  5. Step 5: Solve for x
    x = 47,940,615,391.86/251,378.14
  6. Step 6: Final answer
    x = 190,711.15

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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.