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Finding the Fourth Proportional to 151,409.70, 227,114.55 and 140,004.90

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Solution

The fourth proportional to 151,409.70, 227,114.55 and 140,004.90 is: 210,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,409.70 : 227,114.55 = 140,004.90 : x
  2. Step 2: Convert to fraction form
    151,409.70/227,114.55 = 140,004.90/x
  3. Step 3: Cross multiply
    151,409.70x = 227,114.55 × 140,004.90
  4. Step 4: Simplify right side
    151,409.70x = 31,797,149,861.30
  5. Step 5: Solve for x
    x = 31,797,149,861.30/151,409.70
  6. Step 6: Final answer
    x = 210,007.35

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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.