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Finding the Fourth Proportional to 107,107.28, 147,813.48 and 61,768.40

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Solution

The fourth proportional to 107,107.28, 147,813.48 and 61,768.40 is: 85,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,107.28 : 147,813.48 = 61,768.40 : x
  2. Step 2: Convert to fraction form
    107,107.28/147,813.48 = 61,768.40/x
  3. Step 3: Cross multiply
    107,107.28x = 147,813.48 × 61,768.40
  4. Step 4: Simplify right side
    107,107.28x = 9,130,202,158.03
  5. Step 5: Solve for x
    x = 9,130,202,158.03/107,107.28
  6. Step 6: Final answer
    x = 85,243.53

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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.