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Finding the Fourth Proportional to 129,193.84, 178,176.48 and 83,827.12

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Solution

The fourth proportional to 129,193.84, 178,176.48 and 83,827.12 is: 115,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,193.84 : 178,176.48 = 83,827.12 : x
  2. Step 2: Convert to fraction form
    129,193.84/178,176.48 = 83,827.12/x
  3. Step 3: Cross multiply
    129,193.84x = 178,176.48 × 83,827.12
  4. Step 4: Simplify right side
    129,193.84x = 14,936,021,170.14
  5. Step 5: Solve for x
    x = 14,936,021,170.14/129,193.84
  6. Step 6: Final answer
    x = 115,609.39

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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.