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Finding the Fourth Proportional to 181,310.16, 271,985.04 and 76,178.64

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Solution

The fourth proportional to 181,310.16, 271,985.04 and 76,178.64 is: 114,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,310.16 : 271,985.04 = 76,178.64 : x
  2. Step 2: Convert to fraction form
    181,310.16/271,985.04 = 76,178.64/x
  3. Step 3: Cross multiply
    181,310.16x = 271,985.04 × 76,178.64
  4. Step 4: Simplify right side
    181,310.16x = 20,719,450,447.55
  5. Step 5: Solve for x
    x = 20,719,450,447.55/181,310.16
  6. Step 6: Final answer
    x = 114,276.28

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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.