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Finding the Fourth Proportional to 198,594.48, 274,058.28 and 147,834.20

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Solution

The fourth proportional to 198,594.48, 274,058.28 and 147,834.20 is: 204,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,594.48 : 274,058.28 = 147,834.20 : x
  2. Step 2: Convert to fraction form
    198,594.48/274,058.28 = 147,834.20/x
  3. Step 3: Cross multiply
    198,594.48x = 274,058.28 × 147,834.20
  4. Step 4: Simplify right side
    198,594.48x = 40,515,186,577.18
  5. Step 5: Solve for x
    x = 40,515,186,577.18/198,594.48
  6. Step 6: Final answer
    x = 204,009.63

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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.