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Finding the Fourth Proportional to 178,701.80, 267,822.30 and 136,941.80

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Solution

The fourth proportional to 178,701.80, 267,822.30 and 136,941.80 is: 205,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,701.80 : 267,822.30 = 136,941.80 : x
  2. Step 2: Convert to fraction form
    178,701.80/267,822.30 = 136,941.80/x
  3. Step 3: Cross multiply
    178,701.80x = 267,822.30 × 136,941.80
  4. Step 4: Simplify right side
    178,701.80x = 36,676,067,842.14
  5. Step 5: Solve for x
    x = 36,676,067,842.14/178,701.80
  6. Step 6: Final answer
    x = 205,236.14

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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.