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Finding the Fourth Proportional to 140,704.55, 194,172.30 and 77,042.38

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Solution

The fourth proportional to 140,704.55, 194,172.30 and 77,042.38 is: 106,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,704.55 : 194,172.30 = 77,042.38 : x
  2. Step 2: Convert to fraction form
    140,704.55/194,172.30 = 77,042.38/x
  3. Step 3: Cross multiply
    140,704.55x = 194,172.30 × 77,042.38
  4. Step 4: Simplify right side
    140,704.55x = 14,959,495,636.64
  5. Step 5: Solve for x
    x = 14,959,495,636.64/140,704.55
  6. Step 6: Final answer
    x = 106,318.49

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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.