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Finding the Fourth Proportional to 228,672.30, 343,008.45 and 154,022.70

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Solution

The fourth proportional to 228,672.30, 343,008.45 and 154,022.70 is: 231,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,672.30 : 343,008.45 = 154,022.70 : x
  2. Step 2: Convert to fraction form
    228,672.30/343,008.45 = 154,022.70/x
  3. Step 3: Cross multiply
    228,672.30x = 343,008.45 × 154,022.70
  4. Step 4: Simplify right side
    228,672.30x = 52,831,087,591.82
  5. Step 5: Solve for x
    x = 52,831,087,591.82/228,672.30
  6. Step 6: Final answer
    x = 231,034.05

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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.