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Finding the Fourth Proportional to 162,818.51, 224,766.50 and 109,138.59

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Solution

The fourth proportional to 162,818.51, 224,766.50 and 109,138.59 is: 150,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,818.51 : 224,766.50 = 109,138.59 : x
  2. Step 2: Convert to fraction form
    162,818.51/224,766.50 = 109,138.59/x
  3. Step 3: Cross multiply
    162,818.51x = 224,766.50 × 109,138.59
  4. Step 4: Simplify right side
    162,818.51x = 24,530,698,343.54
  5. Step 5: Solve for x
    x = 24,530,698,343.54/162,818.51
  6. Step 6: Final answer
    x = 150,662.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.