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Finding the Fourth Proportional to 234,543.38, 351,815.38 and 164,734.34

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Solution

The fourth proportional to 234,543.38, 351,815.38 and 164,734.34 is: 247,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,543.38 : 351,815.38 = 164,734.34 : x
  2. Step 2: Convert to fraction form
    234,543.38/351,815.38 = 164,734.34/x
  3. Step 3: Cross multiply
    234,543.38x = 351,815.38 × 164,734.34
  4. Step 4: Simplify right side
    234,543.38x = 57,956,074,426.15
  5. Step 5: Solve for x
    x = 57,956,074,426.15/234,543.38
  6. Step 6: Final answer
    x = 247,101.73

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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.