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Finding the Fourth Proportional to 140,999.62, 194,576 and 76,465.30

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Solution

The fourth proportional to 140,999.62, 194,576 and 76,465.30 is: 105,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,999.62 : 194,576 = 76,465.30 : x
  2. Step 2: Convert to fraction form
    140,999.62/194,576 = 76,465.30/x
  3. Step 3: Cross multiply
    140,999.62x = 194,576 × 76,465.30
  4. Step 4: Simplify right side
    140,999.62x = 14,878,312,212.80
  5. Step 5: Solve for x
    x = 14,878,312,212.80/140,999.62
  6. Step 6: Final answer
    x = 105,520.23

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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.