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Finding the Fourth Proportional to 142,654.20, 196,862.64 and 78,996

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Solution

The fourth proportional to 142,654.20, 196,862.64 and 78,996 is: 109,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,654.20 : 196,862.64 = 78,996 : x
  2. Step 2: Convert to fraction form
    142,654.20/196,862.64 = 78,996/x
  3. Step 3: Cross multiply
    142,654.20x = 196,862.64 × 78,996
  4. Step 4: Simplify right side
    142,654.20x = 15,551,361,109.44
  5. Step 5: Solve for x
    x = 15,551,361,109.44/142,654.20
  6. Step 6: Final answer
    x = 109,014.39

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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.