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Finding the Fourth Proportional to 159,343.53, 238,959.54 and 46,993.92

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Solution

The fourth proportional to 159,343.53, 238,959.54 and 46,993.92 is: 70,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,343.53 : 238,959.54 = 46,993.92 : x
  2. Step 2: Convert to fraction form
    159,343.53/238,959.54 = 46,993.92/x
  3. Step 3: Cross multiply
    159,343.53x = 238,959.54 × 46,993.92
  4. Step 4: Simplify right side
    159,343.53x = 11,229,645,506.00
  5. Step 5: Solve for x
    x = 11,229,645,506.00/159,343.53
  6. Step 6: Final answer
    x = 70,474.44

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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.