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Finding the Fourth Proportional to 105,504.30, 145,599.36 and 57,757.64

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Solution

The fourth proportional to 105,504.30, 145,599.36 and 57,757.64 is: 79,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,504.30 : 145,599.36 = 57,757.64 : x
  2. Step 2: Convert to fraction form
    105,504.30/145,599.36 = 57,757.64/x
  3. Step 3: Cross multiply
    105,504.30x = 145,599.36 × 57,757.64
  4. Step 4: Simplify right side
    105,504.30x = 8,409,475,419.11
  5. Step 5: Solve for x
    x = 8,409,475,419.11/105,504.30
  6. Step 6: Final answer
    x = 79,707.42

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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.