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Finding the Fourth Proportional to 301,120.74, 415,726.83 and 188,096.58

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Solution

The fourth proportional to 301,120.74, 415,726.83 and 188,096.58 is: 259,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,120.74 : 415,726.83 = 188,096.58 : x
  2. Step 2: Convert to fraction form
    301,120.74/415,726.83 = 188,096.58/x
  3. Step 3: Cross multiply
    301,120.74x = 415,726.83 × 188,096.58
  4. Step 4: Simplify right side
    301,120.74x = 78,196,794,937.24
  5. Step 5: Solve for x
    x = 78,196,794,937.24/301,120.74
  6. Step 6: Final answer
    x = 259,685.85

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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.