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Finding the Fourth Proportional to 158,772.81, 238,180.35 and 83,896.02

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Solution

The fourth proportional to 158,772.81, 238,180.35 and 83,896.02 is: 125,855.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,772.81 : 238,180.35 = 83,896.02 : x
  2. Step 2: Convert to fraction form
    158,772.81/238,180.35 = 83,896.02/x
  3. Step 3: Cross multiply
    158,772.81x = 238,180.35 × 83,896.02
  4. Step 4: Simplify right side
    158,772.81x = 19,982,383,407.21
  5. Step 5: Solve for x
    x = 19,982,383,407.21/158,772.81
  6. Step 6: Final answer
    x = 125,855.20

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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.