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Finding the Fourth Proportional to 140,629.60, 194,045.52 and 80,204.64

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Solution

The fourth proportional to 140,629.60, 194,045.52 and 80,204.64 is: 110,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,629.60 : 194,045.52 = 80,204.64 : x
  2. Step 2: Convert to fraction form
    140,629.60/194,045.52 = 80,204.64/x
  3. Step 3: Cross multiply
    140,629.60x = 194,045.52 × 80,204.64
  4. Step 4: Simplify right side
    140,629.60x = 15,563,351,075.21
  5. Step 5: Solve for x
    x = 15,563,351,075.21/140,629.60
  6. Step 6: Final answer
    x = 110,669.10

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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.