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Finding the Fourth Proportional to 151,898.76, 227,869.92 and 46,726.56

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Solution

The fourth proportional to 151,898.76, 227,869.92 and 46,726.56 is: 70,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,898.76 : 227,869.92 = 46,726.56 : x
  2. Step 2: Convert to fraction form
    151,898.76/227,869.92 = 46,726.56/x
  3. Step 3: Cross multiply
    151,898.76x = 227,869.92 × 46,726.56
  4. Step 4: Simplify right side
    151,898.76x = 10,647,577,489.08
  5. Step 5: Solve for x
    x = 10,647,577,489.08/151,898.76
  6. Step 6: Final answer
    x = 70,096.54

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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.