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Finding the Fourth Proportional to 158,911.54, 219,309.69 and 98,494.06

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Solution

The fourth proportional to 158,911.54, 219,309.69 and 98,494.06 is: 135,929.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,911.54 : 219,309.69 = 98,494.06 : x
  2. Step 2: Convert to fraction form
    158,911.54/219,309.69 = 98,494.06/x
  3. Step 3: Cross multiply
    158,911.54x = 219,309.69 × 98,494.06
  4. Step 4: Simplify right side
    158,911.54x = 21,600,701,765.44
  5. Step 5: Solve for x
    x = 21,600,701,765.44/158,911.54
  6. Step 6: Final answer
    x = 135,929.09

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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.