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Finding the Fourth Proportional to 140,903.30, 194,455.60 and 77,241.26

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Solution

The fourth proportional to 140,903.30, 194,455.60 and 77,241.26 is: 106,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,903.30 : 194,455.60 = 77,241.26 : x
  2. Step 2: Convert to fraction form
    140,903.30/194,455.60 = 77,241.26/x
  3. Step 3: Cross multiply
    140,903.30x = 194,455.60 × 77,241.26
  4. Step 4: Simplify right side
    140,903.30x = 15,019,995,558.06
  5. Step 5: Solve for x
    x = 15,019,995,558.06/140,903.30
  6. Step 6: Final answer
    x = 106,597.90

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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.