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Finding the Fourth Proportional to 159,242.54, 238,863.81 and 40,913.88

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Solution

The fourth proportional to 159,242.54, 238,863.81 and 40,913.88 is: 61,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,242.54 : 238,863.81 = 40,913.88 : x
  2. Step 2: Convert to fraction form
    159,242.54/238,863.81 = 40,913.88/x
  3. Step 3: Cross multiply
    159,242.54x = 238,863.81 × 40,913.88
  4. Step 4: Simplify right side
    159,242.54x = 9,772,844,516.37
  5. Step 5: Solve for x
    x = 9,772,844,516.37/159,242.54
  6. Step 6: Final answer
    x = 61,370.82

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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.