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Finding the Fourth Proportional to 228,851.64, 343,277.52 and 71,080.11

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Solution

The fourth proportional to 228,851.64, 343,277.52 and 71,080.11 is: 106,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,851.64 : 343,277.52 = 71,080.11 : x
  2. Step 2: Convert to fraction form
    228,851.64/343,277.52 = 71,080.11/x
  3. Step 3: Cross multiply
    228,851.64x = 343,277.52 × 71,080.11
  4. Step 4: Simplify right side
    228,851.64x = 24,400,203,882.13
  5. Step 5: Solve for x
    x = 24,400,203,882.13/228,851.64
  6. Step 6: Final answer
    x = 106,620.18

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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.