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Finding the Fourth Proportional to 103,322.36, 154,629.64 and 71,768

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Solution

The fourth proportional to 103,322.36, 154,629.64 and 71,768 is: 107,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,322.36 : 154,629.64 = 71,768 : x
  2. Step 2: Convert to fraction form
    103,322.36/154,629.64 = 71,768/x
  3. Step 3: Cross multiply
    103,322.36x = 154,629.64 × 71,768
  4. Step 4: Simplify right side
    103,322.36x = 11,097,460,003.52
  5. Step 5: Solve for x
    x = 11,097,460,003.52/103,322.36
  6. Step 6: Final answer
    x = 107,406.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.