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Finding the Fourth Proportional to 198,676.40, 274,275.01 and 153,252.41

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Solution

The fourth proportional to 198,676.40, 274,275.01 and 153,252.41 is: 211,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,676.40 : 274,275.01 = 153,252.41 : x
  2. Step 2: Convert to fraction form
    198,676.40/274,275.01 = 153,252.41/x
  3. Step 3: Cross multiply
    198,676.40x = 274,275.01 × 153,252.41
  4. Step 4: Simplify right side
    198,676.40x = 42,033,305,105.46
  5. Step 5: Solve for x
    x = 42,033,305,105.46/198,676.40
  6. Step 6: Final answer
    x = 211,566.68

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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.