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Finding the Fourth Proportional to 100,825, 139,138.50 and 56,123.56

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Solution

The fourth proportional to 100,825, 139,138.50 and 56,123.56 is: 77,450.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,825 : 139,138.50 = 56,123.56 : x
  2. Step 2: Convert to fraction form
    100,825/139,138.50 = 56,123.56/x
  3. Step 3: Cross multiply
    100,825x = 139,138.50 × 56,123.56
  4. Step 4: Simplify right side
    100,825x = 7,808,947,953.06
  5. Step 5: Solve for x
    x = 7,808,947,953.06/100,825
  6. Step 6: Final answer
    x = 77,450.51

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