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Finding the Fourth Proportional to 228,505.20, 342,827.82 and 102,251.70

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Solution

The fourth proportional to 228,505.20, 342,827.82 and 102,251.70 is: 153,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,505.20 : 342,827.82 = 102,251.70 : x
  2. Step 2: Convert to fraction form
    228,505.20/342,827.82 = 102,251.70/x
  3. Step 3: Cross multiply
    228,505.20x = 342,827.82 × 102,251.70
  4. Step 4: Simplify right side
    228,505.20x = 35,054,727,402.29
  5. Step 5: Solve for x
    x = 35,054,727,402.29/228,505.20
  6. Step 6: Final answer
    x = 153,408.88

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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.