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Finding the Fourth Proportional to 194,613.30, 292,138.65 and 150,435.90

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Solution

The fourth proportional to 194,613.30, 292,138.65 and 150,435.90 is: 225,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,613.30 : 292,138.65 = 150,435.90 : x
  2. Step 2: Convert to fraction form
    194,613.30/292,138.65 = 150,435.90/x
  3. Step 3: Cross multiply
    194,613.30x = 292,138.65 × 150,435.90
  4. Step 4: Simplify right side
    194,613.30x = 43,948,140,737.54
  5. Step 5: Solve for x
    x = 43,948,140,737.54/194,613.30
  6. Step 6: Final answer
    x = 225,822.90

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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.