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Finding the Fourth Proportional to 174,065.39, 260,654.96 and 114,721.14

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Solution

The fourth proportional to 174,065.39, 260,654.96 and 114,721.14 is: 171,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,065.39 : 260,654.96 = 114,721.14 : x
  2. Step 2: Convert to fraction form
    174,065.39/260,654.96 = 114,721.14/x
  3. Step 3: Cross multiply
    174,065.39x = 260,654.96 × 114,721.14
  4. Step 4: Simplify right side
    174,065.39x = 29,902,635,422.11
  5. Step 5: Solve for x
    x = 29,902,635,422.11/174,065.39
  6. Step 6: Final answer
    x = 171,789.67

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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.