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Finding the Fourth Proportional to 118,722.66, 178,082.52 and 47,676.78

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Solution

The fourth proportional to 118,722.66, 178,082.52 and 47,676.78 is: 71,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,722.66 : 178,082.52 = 47,676.78 : x
  2. Step 2: Convert to fraction form
    118,722.66/178,082.52 = 47,676.78/x
  3. Step 3: Cross multiply
    118,722.66x = 178,082.52 × 47,676.78
  4. Step 4: Simplify right side
    118,722.66x = 8,490,401,127.89
  5. Step 5: Solve for x
    x = 8,490,401,127.89/118,722.66
  6. Step 6: Final answer
    x = 71,514.58

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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.