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Finding the Fourth Proportional to 194,815.80, 292,442.40 and 150,638.40

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Solution

The fourth proportional to 194,815.80, 292,442.40 and 150,638.40 is: 226,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,815.80 : 292,442.40 = 150,638.40 : x
  2. Step 2: Convert to fraction form
    194,815.80/292,442.40 = 150,638.40/x
  3. Step 3: Cross multiply
    194,815.80x = 292,442.40 × 150,638.40
  4. Step 4: Simplify right side
    194,815.80x = 44,053,055,228.16
  5. Step 5: Solve for x
    x = 44,053,055,228.16/194,815.80
  6. Step 6: Final answer
    x = 226,126.71

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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.