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Finding the Fourth Proportional to 228,855.40, 343,283.10 and 144,874.60

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Solution

The fourth proportional to 228,855.40, 343,283.10 and 144,874.60 is: 217,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,855.40 : 343,283.10 = 144,874.60 : x
  2. Step 2: Convert to fraction form
    228,855.40/343,283.10 = 144,874.60/x
  3. Step 3: Cross multiply
    228,855.40x = 343,283.10 × 144,874.60
  4. Step 4: Simplify right side
    228,855.40x = 49,733,001,799.26
  5. Step 5: Solve for x
    x = 49,733,001,799.26/228,855.40
  6. Step 6: Final answer
    x = 217,311.90

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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.