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Finding the Fourth Proportional to 105,529.41, 145,642.80 and 60,213.96

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Solution

The fourth proportional to 105,529.41, 145,642.80 and 60,213.96 is: 83,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,529.41 : 145,642.80 = 60,213.96 : x
  2. Step 2: Convert to fraction form
    105,529.41/145,642.80 = 60,213.96/x
  3. Step 3: Cross multiply
    105,529.41x = 145,642.80 × 60,213.96
  4. Step 4: Simplify right side
    105,529.41x = 8,769,729,733.49
  5. Step 5: Solve for x
    x = 8,769,729,733.49/105,529.41
  6. Step 6: Final answer
    x = 83,102.23

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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.