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Finding the Fourth Proportional to 114,916.80, 172,401.12 and 47,447.04

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Solution

The fourth proportional to 114,916.80, 172,401.12 and 47,447.04 is: 71,181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,916.80 : 172,401.12 = 47,447.04 : x
  2. Step 2: Convert to fraction form
    114,916.80/172,401.12 = 47,447.04/x
  3. Step 3: Cross multiply
    114,916.80x = 172,401.12 × 47,447.04
  4. Step 4: Simplify right side
    114,916.80x = 8,179,922,836.68
  5. Step 5: Solve for x
    x = 8,179,922,836.68/114,916.80
  6. Step 6: Final answer
    x = 71,181.26

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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.