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Finding the Fourth Proportional to 159,141.21, 238,714.56 and 53,962.89

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Solution

The fourth proportional to 159,141.21, 238,714.56 and 53,962.89 is: 80,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,141.21 : 238,714.56 = 53,962.89 : x
  2. Step 2: Convert to fraction form
    159,141.21/238,714.56 = 53,962.89/x
  3. Step 3: Cross multiply
    159,141.21x = 238,714.56 × 53,962.89
  4. Step 4: Simplify right side
    159,141.21x = 12,881,727,542.68
  5. Step 5: Solve for x
    x = 12,881,727,542.68/159,141.21
  6. Step 6: Final answer
    x = 80,945.27

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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.