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Finding the Fourth Proportional to 251,395.64, 346,917.12 and 138,217.52

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Solution

The fourth proportional to 251,395.64, 346,917.12 and 138,217.52 is: 190,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,395.64 : 346,917.12 = 138,217.52 : x
  2. Step 2: Convert to fraction form
    251,395.64/346,917.12 = 138,217.52/x
  3. Step 3: Cross multiply
    251,395.64x = 346,917.12 × 138,217.52
  4. Step 4: Simplify right side
    251,395.64x = 47,950,023,971.94
  5. Step 5: Solve for x
    x = 47,950,023,971.94/251,395.64
  6. Step 6: Final answer
    x = 190,735.30

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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.