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Finding the Fourth Proportional to 103,414.30, 155,157.90 and 99,769.30

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Solution

The fourth proportional to 103,414.30, 155,157.90 and 99,769.30 is: 149,689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,414.30 : 155,157.90 = 99,769.30 : x
  2. Step 2: Convert to fraction form
    103,414.30/155,157.90 = 99,769.30/x
  3. Step 3: Cross multiply
    103,414.30x = 155,157.90 × 99,769.30
  4. Step 4: Simplify right side
    103,414.30x = 15,479,995,072.47
  5. Step 5: Solve for x
    x = 15,479,995,072.47/103,414.30
  6. Step 6: Final answer
    x = 149,689.12

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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.