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Finding the Fourth Proportional to 228,592.10, 342,910.72 and 78,812.70

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Solution

The fourth proportional to 228,592.10, 342,910.72 and 78,812.70 is: 118,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,592.10 : 342,910.72 = 78,812.70 : x
  2. Step 2: Convert to fraction form
    228,592.10/342,910.72 = 78,812.70/x
  3. Step 3: Cross multiply
    228,592.10x = 342,910.72 × 78,812.70
  4. Step 4: Simplify right side
    228,592.10x = 27,025,719,702.14
  5. Step 5: Solve for x
    x = 27,025,719,702.14/228,592.10
  6. Step 6: Final answer
    x = 118,226.83

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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.