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Finding the Fourth Proportional to 152,036, 227,957.38 and 133,353.56

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Solution

The fourth proportional to 152,036, 227,957.38 and 133,353.56 is: 199,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,036 : 227,957.38 = 133,353.56 : x
  2. Step 2: Convert to fraction form
    152,036/227,957.38 = 133,353.56/x
  3. Step 3: Cross multiply
    152,036x = 227,957.38 × 133,353.56
  4. Step 4: Simplify right side
    152,036x = 30,398,928,151.27
  5. Step 5: Solve for x
    x = 30,398,928,151.27/152,036
  6. Step 6: Final answer
    x = 199,945.59

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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.