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Finding the Fourth Proportional to 101,768.34, 140,439.38 and 56,446.41

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Solution

The fourth proportional to 101,768.34, 140,439.38 and 56,446.41 is: 77,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,768.34 : 140,439.38 = 56,446.41 : x
  2. Step 2: Convert to fraction form
    101,768.34/140,439.38 = 56,446.41/x
  3. Step 3: Cross multiply
    101,768.34x = 140,439.38 × 56,446.41
  4. Step 4: Simplify right side
    101,768.34x = 7,927,298,823.63
  5. Step 5: Solve for x
    x = 7,927,298,823.63/101,768.34
  6. Step 6: Final answer
    x = 77,895.53

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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.