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Finding the Fourth Proportional to 137,391.60, 189,596.68 and 76,967.76

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Solution

The fourth proportional to 137,391.60, 189,596.68 and 76,967.76 is: 106,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,391.60 : 189,596.68 = 76,967.76 : x
  2. Step 2: Convert to fraction form
    137,391.60/189,596.68 = 76,967.76/x
  3. Step 3: Cross multiply
    137,391.60x = 189,596.68 × 76,967.76
  4. Step 4: Simplify right side
    137,391.60x = 14,592,831,763.04
  5. Step 5: Solve for x
    x = 14,592,831,763.04/137,391.60
  6. Step 6: Final answer
    x = 106,213.42

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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.