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Finding the Fourth Proportional to 228,310.21, 342,409.92 and 95,117.80

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Solution

The fourth proportional to 228,310.21, 342,409.92 and 95,117.80 is: 142,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,310.21 : 342,409.92 = 95,117.80 : x
  2. Step 2: Convert to fraction form
    228,310.21/342,409.92 = 95,117.80/x
  3. Step 3: Cross multiply
    228,310.21x = 342,409.92 × 95,117.80
  4. Step 4: Simplify right side
    228,310.21x = 32,569,278,288.58
  5. Step 5: Solve for x
    x = 32,569,278,288.58/228,310.21
  6. Step 6: Final answer
    x = 142,653.62

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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.