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Finding the Fourth Proportional to 129,706.84, 193,967.34 and 94,287.16

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Solution

The fourth proportional to 129,706.84, 193,967.34 and 94,287.16 is: 140,999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,706.84 : 193,967.34 = 94,287.16 : x
  2. Step 2: Convert to fraction form
    129,706.84/193,967.34 = 94,287.16/x
  3. Step 3: Cross multiply
    129,706.84x = 193,967.34 × 94,287.16
  4. Step 4: Simplify right side
    129,706.84x = 18,288,629,621.35
  5. Step 5: Solve for x
    x = 18,288,629,621.35/129,706.84
  6. Step 6: Final answer
    x = 140,999.73

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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.