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Finding the Fourth Proportional to 228,818.80, 343,325.40 and 110,429.20

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Solution

The fourth proportional to 228,818.80, 343,325.40 and 110,429.20 is: 165,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,818.80 : 343,325.40 = 110,429.20 : x
  2. Step 2: Convert to fraction form
    228,818.80/343,325.40 = 110,429.20/x
  3. Step 3: Cross multiply
    228,818.80x = 343,325.40 × 110,429.20
  4. Step 4: Simplify right side
    228,818.80x = 37,913,149,261.68
  5. Step 5: Solve for x
    x = 37,913,149,261.68/228,818.80
  6. Step 6: Final answer
    x = 165,690.71

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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.