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Finding the Fourth Proportional to 100,322.45, 138,444.94 and 54,999.46

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Solution

The fourth proportional to 100,322.45, 138,444.94 and 54,999.46 is: 75,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,322.45 : 138,444.94 = 54,999.46 : x
  2. Step 2: Convert to fraction form
    100,322.45/138,444.94 = 54,999.46/x
  3. Step 3: Cross multiply
    100,322.45x = 138,444.94 × 54,999.46
  4. Step 4: Simplify right side
    100,322.45x = 7,614,396,316.26
  5. Step 5: Solve for x
    x = 7,614,396,316.26/100,322.45
  6. Step 6: Final answer
    x = 75,899.23

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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.