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Finding the Fourth Proportional to 194,051.62, 267,702.73 and 140,251.42

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Solution

The fourth proportional to 194,051.62, 267,702.73 and 140,251.42 is: 193,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,051.62 : 267,702.73 = 140,251.42 : x
  2. Step 2: Convert to fraction form
    194,051.62/267,702.73 = 140,251.42/x
  3. Step 3: Cross multiply
    194,051.62x = 267,702.73 × 140,251.42
  4. Step 4: Simplify right side
    194,051.62x = 37,545,688,020.38
  5. Step 5: Solve for x
    x = 37,545,688,020.38/194,051.62
  6. Step 6: Final answer
    x = 193,482.99

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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.