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Finding the Fourth Proportional to 234,407.82, 351,842.74 and 167,014.71

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Solution

The fourth proportional to 234,407.82, 351,842.74 and 167,014.71 is: 250,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,407.82 : 351,842.74 = 167,014.71 : x
  2. Step 2: Convert to fraction form
    234,407.82/351,842.74 = 167,014.71/x
  3. Step 3: Cross multiply
    234,407.82x = 351,842.74 × 167,014.71
  4. Step 4: Simplify right side
    234,407.82x = 58,762,912,769.17
  5. Step 5: Solve for x
    x = 58,762,912,769.17/234,407.82
  6. Step 6: Final answer
    x = 250,686.65

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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.