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Finding the Fourth Proportional to 194,954.70, 292,777.65 and 150,689.10

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Solution

The fourth proportional to 194,954.70, 292,777.65 and 150,689.10 is: 226,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,954.70 : 292,777.65 = 150,689.10 : x
  2. Step 2: Convert to fraction form
    194,954.70/292,777.65 = 150,689.10/x
  3. Step 3: Cross multiply
    194,954.70x = 292,777.65 × 150,689.10
  4. Step 4: Simplify right side
    194,954.70x = 44,118,400,578.62
  5. Step 5: Solve for x
    x = 44,118,400,578.62/194,954.70
  6. Step 6: Final answer
    x = 226,300.78

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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.