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Finding the Fourth Proportional to 150,605.31, 225,897.29 and 70,660.83

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Solution

The fourth proportional to 150,605.31, 225,897.29 and 70,660.83 is: 105,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,605.31 : 225,897.29 = 70,660.83 : x
  2. Step 2: Convert to fraction form
    150,605.31/225,897.29 = 70,660.83/x
  3. Step 3: Cross multiply
    150,605.31x = 225,897.29 × 70,660.83
  4. Step 4: Simplify right side
    150,605.31x = 15,962,089,652.85
  5. Step 5: Solve for x
    x = 15,962,089,652.85/150,605.31
  6. Step 6: Final answer
    x = 105,986.23

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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.