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Finding the Fourth Proportional to 234,176.78, 350,982.29 and 114,053.69

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Solution

The fourth proportional to 234,176.78, 350,982.29 and 114,053.69 is: 170,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,176.78 : 350,982.29 = 114,053.69 : x
  2. Step 2: Convert to fraction form
    234,176.78/350,982.29 = 114,053.69/x
  3. Step 3: Cross multiply
    234,176.78x = 350,982.29 × 114,053.69
  4. Step 4: Simplify right side
    234,176.78x = 40,030,822,973.97
  5. Step 5: Solve for x
    x = 40,030,822,973.97/234,176.78
  6. Step 6: Final answer
    x = 170,942.75

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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.