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Finding the Fourth Proportional to 137,450.70, 189,680.40 and 77,023.80

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Solution

The fourth proportional to 137,450.70, 189,680.40 and 77,023.80 is: 106,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,450.70 : 189,680.40 = 77,023.80 : x
  2. Step 2: Convert to fraction form
    137,450.70/189,680.40 = 77,023.80/x
  3. Step 3: Cross multiply
    137,450.70x = 189,680.40 × 77,023.80
  4. Step 4: Simplify right side
    137,450.70x = 14,609,905,193.52
  5. Step 5: Solve for x
    x = 14,609,905,193.52/137,450.70
  6. Step 6: Final answer
    x = 106,291.97

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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.