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Finding the Fourth Proportional to 137,571.60, 189,856.68 and 77,161.80

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Solution

The fourth proportional to 137,571.60, 189,856.68 and 77,161.80 is: 106,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,571.60 : 189,856.68 = 77,161.80 : x
  2. Step 2: Convert to fraction form
    137,571.60/189,856.68 = 77,161.80/x
  3. Step 3: Cross multiply
    137,571.60x = 189,856.68 × 77,161.80
  4. Step 4: Simplify right side
    137,571.60x = 14,649,683,170.82
  5. Step 5: Solve for x
    x = 14,649,683,170.82/137,571.60
  6. Step 6: Final answer
    x = 106,487.70

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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.