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Finding the Fourth Proportional to 159,157.88, 238,686.09 and 52,521.96

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Solution

The fourth proportional to 159,157.88, 238,686.09 and 52,521.96 is: 78,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,157.88 : 238,686.09 = 52,521.96 : x
  2. Step 2: Convert to fraction form
    159,157.88/238,686.09 = 52,521.96/x
  3. Step 3: Cross multiply
    159,157.88x = 238,686.09 × 52,521.96
  4. Step 4: Simplify right side
    159,157.88x = 12,536,261,271.54
  5. Step 5: Solve for x
    x = 12,536,261,271.54/159,157.88
  6. Step 6: Final answer
    x = 78,766.20

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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.