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Finding the Fourth Proportional to 137,044.74, 205,670.97 and 58,214.28

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Solution

The fourth proportional to 137,044.74, 205,670.97 and 58,214.28 is: 87,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,044.74 : 205,670.97 = 58,214.28 : x
  2. Step 2: Convert to fraction form
    137,044.74/205,670.97 = 58,214.28/x
  3. Step 3: Cross multiply
    137,044.74x = 205,670.97 × 58,214.28
  4. Step 4: Simplify right side
    137,044.74x = 11,972,987,435.45
  5. Step 5: Solve for x
    x = 11,972,987,435.45/137,044.74
  6. Step 6: Final answer
    x = 87,365.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.