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Finding the Fourth Proportional to 228,594.10, 342,913.72 and 78,814.70

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Solution

The fourth proportional to 228,594.10, 342,913.72 and 78,814.70 is: 118,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,594.10 : 342,913.72 = 78,814.70 : x
  2. Step 2: Convert to fraction form
    228,594.10/342,913.72 = 78,814.70/x
  3. Step 3: Cross multiply
    228,594.10x = 342,913.72 × 78,814.70
  4. Step 4: Simplify right side
    228,594.10x = 27,026,641,967.68
  5. Step 5: Solve for x
    x = 27,026,641,967.68/228,594.10
  6. Step 6: Final answer
    x = 118,229.83

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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.