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Finding the Fourth Proportional to 159,009.40, 238,536.78 and 53,858.44

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Solution

The fourth proportional to 159,009.40, 238,536.78 and 53,858.44 is: 80,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,009.40 : 238,536.78 = 53,858.44 : x
  2. Step 2: Convert to fraction form
    159,009.40/238,536.78 = 53,858.44/x
  3. Step 3: Cross multiply
    159,009.40x = 238,536.78 × 53,858.44
  4. Step 4: Simplify right side
    159,009.40x = 12,847,218,853.42
  5. Step 5: Solve for x
    x = 12,847,218,853.42/159,009.40
  6. Step 6: Final answer
    x = 80,795.34

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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.