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Finding the Fourth Proportional to 159,174.64, 238,762.08 and 40,846

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Solution

The fourth proportional to 159,174.64, 238,762.08 and 40,846 is: 61,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,174.64 : 238,762.08 = 40,846 : x
  2. Step 2: Convert to fraction form
    159,174.64/238,762.08 = 40,846/x
  3. Step 3: Cross multiply
    159,174.64x = 238,762.08 × 40,846
  4. Step 4: Simplify right side
    159,174.64x = 9,752,475,919.68
  5. Step 5: Solve for x
    x = 9,752,475,919.68/159,174.64
  6. Step 6: Final answer
    x = 61,269.03

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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.