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Finding the Fourth Proportional to 129,757.80, 194,643.10 and 67,549.80

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Solution

The fourth proportional to 129,757.80, 194,643.10 and 67,549.80 is: 101,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,757.80 : 194,643.10 = 67,549.80 : x
  2. Step 2: Convert to fraction form
    129,757.80/194,643.10 = 67,549.80/x
  3. Step 3: Cross multiply
    129,757.80x = 194,643.10 × 67,549.80
  4. Step 4: Simplify right side
    129,757.80x = 13,148,102,476.38
  5. Step 5: Solve for x
    x = 13,148,102,476.38/129,757.80
  6. Step 6: Final answer
    x = 101,328.03

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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.