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Finding the Fourth Proportional to 158,930.64, 219,324.78 and 87,315.30

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Solution

The fourth proportional to 158,930.64, 219,324.78 and 87,315.30 is: 120,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,930.64 : 219,324.78 = 87,315.30 : x
  2. Step 2: Convert to fraction form
    158,930.64/219,324.78 = 87,315.30/x
  3. Step 3: Cross multiply
    158,930.64x = 219,324.78 × 87,315.30
  4. Step 4: Simplify right side
    158,930.64x = 19,150,408,963.13
  5. Step 5: Solve for x
    x = 19,150,408,963.13/158,930.64
  6. Step 6: Final answer
    x = 120,495.39

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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.