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Finding the Fourth Proportional to 272,029.10, 408,043.65 and 146,057.90

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Solution

The fourth proportional to 272,029.10, 408,043.65 and 146,057.90 is: 219,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,029.10 : 408,043.65 = 146,057.90 : x
  2. Step 2: Convert to fraction form
    272,029.10/408,043.65 = 146,057.90/x
  3. Step 3: Cross multiply
    272,029.10x = 408,043.65 × 146,057.90
  4. Step 4: Simplify right side
    272,029.10x = 59,597,998,627.34
  5. Step 5: Solve for x
    x = 59,597,998,627.34/272,029.10
  6. Step 6: Final answer
    x = 219,086.85

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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.