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Finding the Fourth Proportional to 140,679.38, 194,136.35 and 76,148.30

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Solution

The fourth proportional to 140,679.38, 194,136.35 and 76,148.30 is: 105,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,679.38 : 194,136.35 = 76,148.30 : x
  2. Step 2: Convert to fraction form
    140,679.38/194,136.35 = 76,148.30/x
  3. Step 3: Cross multiply
    140,679.38x = 194,136.35 × 76,148.30
  4. Step 4: Simplify right side
    140,679.38x = 14,783,153,125.30
  5. Step 5: Solve for x
    x = 14,783,153,125.30/140,679.38
  6. Step 6: Final answer
    x = 105,084.01

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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.