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Finding the Fourth Proportional to 159,115.63, 238,654.01 and 65,609.23

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Solution

The fourth proportional to 159,115.63, 238,654.01 and 65,609.23 is: 98,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,115.63 : 238,654.01 = 65,609.23 : x
  2. Step 2: Convert to fraction form
    159,115.63/238,654.01 = 65,609.23/x
  3. Step 3: Cross multiply
    159,115.63x = 238,654.01 × 65,609.23
  4. Step 4: Simplify right side
    159,115.63x = 15,657,905,504.47
  5. Step 5: Solve for x
    x = 15,657,905,504.47/159,115.63
  6. Step 6: Final answer
    x = 98,405.83

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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.