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Finding the Fourth Proportional to 158,660.31, 238,223.75 and 65,348.31

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Solution

The fourth proportional to 158,660.31, 238,223.75 and 65,348.31 is: 98,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,660.31 : 238,223.75 = 65,348.31 : x
  2. Step 2: Convert to fraction form
    158,660.31/238,223.75 = 65,348.31/x
  3. Step 3: Cross multiply
    158,660.31x = 238,223.75 × 65,348.31
  4. Step 4: Simplify right side
    158,660.31x = 15,567,519,137.62
  5. Step 5: Solve for x
    x = 15,567,519,137.62/158,660.31
  6. Step 6: Final answer
    x = 98,118.55

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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.