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Finding the Fourth Proportional to 146,899.20, 220,348.80 and 105,427.20

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Solution

The fourth proportional to 146,899.20, 220,348.80 and 105,427.20 is: 158,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,899.20 : 220,348.80 = 105,427.20 : x
  2. Step 2: Convert to fraction form
    146,899.20/220,348.80 = 105,427.20/x
  3. Step 3: Cross multiply
    146,899.20x = 220,348.80 × 105,427.20
  4. Step 4: Simplify right side
    146,899.20x = 23,230,757,007.36
  5. Step 5: Solve for x
    x = 23,230,757,007.36/146,899.20
  6. Step 6: Final answer
    x = 158,140.80

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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.