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Finding the Fourth Proportional to 282,250.46, 389,491.42 and 167,534.11

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Solution

The fourth proportional to 282,250.46, 389,491.42 and 167,534.11 is: 231,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,250.46 : 389,491.42 = 167,534.11 : x
  2. Step 2: Convert to fraction form
    282,250.46/389,491.42 = 167,534.11/x
  3. Step 3: Cross multiply
    282,250.46x = 389,491.42 × 167,534.11
  4. Step 4: Simplify right side
    282,250.46x = 65,253,098,402.34
  5. Step 5: Solve for x
    x = 65,253,098,402.34/282,250.46
  6. Step 6: Final answer
    x = 231,188.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.