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Finding the Fourth Proportional to 158,774.82, 238,183.36 and 83,898.02

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Solution

The fourth proportional to 158,774.82, 238,183.36 and 83,898.02 is: 125,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,774.82 : 238,183.36 = 83,898.02 : x
  2. Step 2: Convert to fraction form
    158,774.82/238,183.36 = 83,898.02/x
  3. Step 3: Cross multiply
    158,774.82x = 238,183.36 × 83,898.02
  4. Step 4: Simplify right side
    158,774.82x = 19,983,112,300.95
  5. Step 5: Solve for x
    x = 19,983,112,300.95/158,774.82
  6. Step 6: Final answer
    x = 125,858.20

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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.