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Finding the Fourth Proportional to 228,732.40, 343,098.60 and 154,082.80

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Solution

The fourth proportional to 228,732.40, 343,098.60 and 154,082.80 is: 231,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,732.40 : 343,098.60 = 154,082.80 : x
  2. Step 2: Convert to fraction form
    228,732.40/343,098.60 = 154,082.80/x
  3. Step 3: Cross multiply
    228,732.40x = 343,098.60 × 154,082.80
  4. Step 4: Simplify right side
    228,732.40x = 52,865,592,964.08
  5. Step 5: Solve for x
    x = 52,865,592,964.08/228,732.40
  6. Step 6: Final answer
    x = 231,124.20

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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.