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Finding the Fourth Proportional to 137,314.73, 189,485.96 and 76,057.28

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Solution

The fourth proportional to 137,314.73, 189,485.96 and 76,057.28 is: 104,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,314.73 : 189,485.96 = 76,057.28 : x
  2. Step 2: Convert to fraction form
    137,314.73/189,485.96 = 76,057.28/x
  3. Step 3: Cross multiply
    137,314.73x = 189,485.96 × 76,057.28
  4. Step 4: Simplify right side
    137,314.73x = 14,411,786,809.22
  5. Step 5: Solve for x
    x = 14,411,786,809.22/137,314.73
  6. Step 6: Final answer
    x = 104,954.42

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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.