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Finding the Fourth Proportional to 159,367.47, 238,995.46 and 47,017.86

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Solution

The fourth proportional to 159,367.47, 238,995.46 and 47,017.86 is: 70,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,367.47 : 238,995.46 = 47,017.86 : x
  2. Step 2: Convert to fraction form
    159,367.47/238,995.46 = 47,017.86/x
  3. Step 3: Cross multiply
    159,367.47x = 238,995.46 × 47,017.86
  4. Step 4: Simplify right side
    159,367.47x = 11,237,055,078.92
  5. Step 5: Solve for x
    x = 11,237,055,078.92/159,367.47
  6. Step 6: Final answer
    x = 70,510.34

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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.