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Finding the Fourth Proportional to 137,048.74, 205,676.97 and 58,218.28

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Solution

The fourth proportional to 137,048.74, 205,676.97 and 58,218.28 is: 87,371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,048.74 : 205,676.97 = 58,218.28 : x
  2. Step 2: Convert to fraction form
    137,048.74/205,676.97 = 58,218.28/x
  3. Step 3: Cross multiply
    137,048.74x = 205,676.97 × 58,218.28
  4. Step 4: Simplify right side
    137,048.74x = 11,974,159,429.01
  5. Step 5: Solve for x
    x = 11,974,159,429.01/137,048.74
  6. Step 6: Final answer
    x = 87,371.54

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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.