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Finding the Fourth Proportional to 129,902.94, 194,859.90 and 41,154.48

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Solution

The fourth proportional to 129,902.94, 194,859.90 and 41,154.48 is: 61,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,902.94 : 194,859.90 = 41,154.48 : x
  2. Step 2: Convert to fraction form
    129,902.94/194,859.90 = 41,154.48/x
  3. Step 3: Cross multiply
    129,902.94x = 194,859.90 × 41,154.48
  4. Step 4: Simplify right side
    129,902.94x = 8,019,357,857.35
  5. Step 5: Solve for x
    x = 8,019,357,857.35/129,902.94
  6. Step 6: Final answer
    x = 61,733.46

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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.