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Finding the Fourth Proportional to 101,315.34, 139,814.37 and 55,996.38

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Solution

The fourth proportional to 101,315.34, 139,814.37 and 55,996.38 is: 77,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,315.34 : 139,814.37 = 55,996.38 : x
  2. Step 2: Convert to fraction form
    101,315.34/139,814.37 = 55,996.38/x
  3. Step 3: Cross multiply
    101,315.34x = 139,814.37 × 55,996.38
  4. Step 4: Simplify right side
    101,315.34x = 7,829,098,591.98
  5. Step 5: Solve for x
    x = 7,829,098,591.98/101,315.34
  6. Step 6: Final answer
    x = 77,274.56

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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.