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Finding the Fourth Proportional to 251,358.36, 346,835.85 and 149,346.06

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Solution

The fourth proportional to 251,358.36, 346,835.85 and 149,346.06 is: 206,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,358.36 : 346,835.85 = 149,346.06 : x
  2. Step 2: Convert to fraction form
    251,358.36/346,835.85 = 149,346.06/x
  3. Step 3: Cross multiply
    251,358.36x = 346,835.85 × 149,346.06
  4. Step 4: Simplify right side
    251,358.36x = 51,798,567,664.25
  5. Step 5: Solve for x
    x = 51,798,567,664.25/251,358.36
  6. Step 6: Final answer
    x = 206,074.58

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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.