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Finding the Fourth Proportional to 194,610.30, 292,134.15 and 150,432.90

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Solution

The fourth proportional to 194,610.30, 292,134.15 and 150,432.90 is: 225,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,610.30 : 292,134.15 = 150,432.90 : x
  2. Step 2: Convert to fraction form
    194,610.30/292,134.15 = 150,432.90/x
  3. Step 3: Cross multiply
    194,610.30x = 292,134.15 × 150,432.90
  4. Step 4: Simplify right side
    194,610.30x = 43,946,587,373.54
  5. Step 5: Solve for x
    x = 43,946,587,373.54/194,610.30
  6. Step 6: Final answer
    x = 225,818.40

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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.