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Finding the Fourth Proportional to 159,798.74, 239,389.01 and 133,844.93

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Solution

The fourth proportional to 159,798.74, 239,389.01 and 133,844.93 is: 200,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,798.74 : 239,389.01 = 133,844.93 : x
  2. Step 2: Convert to fraction form
    159,798.74/239,389.01 = 133,844.93/x
  3. Step 3: Cross multiply
    159,798.74x = 239,389.01 × 133,844.93
  4. Step 4: Simplify right side
    159,798.74x = 32,041,004,819.68
  5. Step 5: Solve for x
    x = 32,041,004,819.68/159,798.74
  6. Step 6: Final answer
    x = 200,508.49

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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.